Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. \[\begin{array} { l l l l } \text { inverse } & \text { common } & \text { composition symmetric } & \text { exponential } \\ \text { vertical } & \text { logarithmic } & \text { natural } \quad \text { half-life } & \text { horizontal } \end{array}\] -------------logarithms are logarithms to base 10.

A) Inverse B) Common C) Exponential D) Natural A) Inverse B) Common C) Exponential D) Natural

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. \[\begin{array} { l l l l } \text { inverse } & \text { common } & \text { composition symmetric } & \text { exponential } \\ \text { vertical } & \text { logarithmic } & \text { natural } \quad \text { half-life } & \text { horizontal } \end{array}\] ----------------------logarithms are logarithms to base e.

A) Exponential B) Common C) Inverse D) Natural A) Exponential B) Common C) Inverse D) Natural

Exam 12: Exponential and Logarithmic Functions

Use the formula A $A = P \left( 1 + \frac { r } { n } \right) ^ { n t } \text { to solve. }$ - $\$ 3500$ is invested at $5 \%$ compounded quarterly. In how many years will the account have grown to $\$ 8000$ ? Round to the nearest tenth of a year.

(Multiple Choice)

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Question 61

Graph the inverse of the function on the same set of axes. -

(Multiple Choice)

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Question 62

Solve for x. - $\log _ { 3 } 9 = x$

(Multiple Choice)

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Question 63

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. inverse common composition symmetric exponential vertical logarithmic natural half-life horizontal -------------logarithms are logarithms to base 10.

(Multiple Choice)

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Question 64

Solve the logarithmic equation for x. Give an exact solution - $\ln \sqrt [ 7 ] { e } = x$

(Multiple Choice)

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Question 65

Graph the exponential function. - $f(x)=\left|3^{x}\right|$ $Graph the exponential function. - f(x)=\left|3^{x}\right|$

(Multiple Choice)

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Question 66

Solve the equation. Give an approximate solution to four decimal places. - $5 ^ { 3 x } = 4.1$

(Multiple Choice)

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Question 67

Find the exact value. - $\log 10 ^ { 2 }$

(Multiple Choice)

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Question 68

Write as a logarithmic equation. - $17 ^ { 1 / 2 } = \sqrt { 17 }$

(Multiple Choice)

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Question 69

Use the following approximations to find the approximate value of the logarithmic expression: $\log _ { b } 3 \approx 0.5 \quad \log _ { b } 8 \approx 0.9$ $\log _ { b } 5 \approx 0.7 \quad \log _ { b } 20 \approx 1.3$ - $\log _ { b } \sqrt [ 3 ] { 8 }$ (Round answer to nearest hundredth.)

(Multiple Choice)

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Question 70

Write as a logarithmic equation. - $10 ^ { 2 } = 100$

(Multiple Choice)

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Question 71

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 3 } + 7 x ; g ( x ) = 2 x \quad$ Find $( g \circ f ) ( x )$

(Multiple Choice)

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Question 72

Find the inverse of the one-to-one function. - $f ( x ) = \frac { 8 } { 5 x + 1 }$

(Multiple Choice)

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Question 73

The graph of an exponential function is given. Match the graph to one of the following functions. -

(Multiple Choice)

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Question 74

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. inverse common composition symmetric exponential vertical logarithmic natural half-life horizontal ----------------------logarithms are logarithms to base e.

(Multiple Choice)

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Question 75

Solve the equation. - $\ln 5 + \ln ( x - 1 ) = 0$

(Multiple Choice)

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Question 76

Graph the exponential function. - $f(x)=2^{|x|}$ $Graph the exponential function. - f(x)=2^{|x|}$

(Multiple Choice)

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Question 77

Express as the logarithm of a single expression. Assume that variables represent positive numbers. - $3 \log _ { x } 3 + \log _ { x } 2$

(Multiple Choice)

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Question 78

Solve. -Laura borrows $\$ 6250$ at a rate of $10 \%$ compounded semiannually. Find how much Laura owes at the end of 3 years. Use: $A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$ . Round to two decimal places.

(Multiple Choice)

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Question 79

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quad$ Find $( g \circ f ) ( 6 )$

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Question 80

Use the formula A $A = P \left( 1 + \frac { r } { n } \right) ^ { n t } \text { to solve. }$ - $\$ 3500$ is invested at $5 \%$ compounded quarterly. In how many years will the account have grown to $\$ 8000$ ? Round to the nearest tenth of a year.

Graph the inverse of the function on the same set of axes. -

Solve for x. - $\log _ { 3 } 9 = x$

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. inverse common composition symmetric exponential vertical logarithmic natural half-life horizontal -------------logarithms are logarithms to base 10.

Solve the logarithmic equation for x. Give an exact solution - $\ln \sqrt [ 7 ] { e } = x$

Graph the exponential function. - $f(x)=\left|3^{x}\right|$ $Graph the exponential function. - f(x)=\left|3^{x}\right|$

Solve the equation. Give an approximate solution to four decimal places. - $5 ^ { 3 x } = 4.1$

Find the exact value. - $\log 10 ^ { 2 }$

Write as a logarithmic equation. - $17 ^ { 1 / 2 } = \sqrt { 17 }$

Use the following approximations to find the approximate value of the logarithmic expression: $\log _ { b } 3 \approx 0.5 \quad \log _ { b } 8 \approx 0.9$ $\log _ { b } 5 \approx 0.7 \quad \log _ { b } 20 \approx 1.3$ - $\log _ { b } \sqrt [ 3 ] { 8 }$ (Round answer to nearest hundredth.)

Write as a logarithmic equation. - $10 ^ { 2 } = 100$

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 3 } + 7 x ; g ( x ) = 2 x \quad$ Find $( g \circ f ) ( x )$

Find the inverse of the one-to-one function. - $f ( x ) = \frac { 8 } { 5 x + 1 }$

The graph of an exponential function is given. Match the graph to one of the following functions. -

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. inverse common composition symmetric exponential vertical logarithmic natural half-life horizontal ----------------------logarithms are logarithms to base e.

Solve the equation. - $\ln 5 + \ln ( x - 1 ) = 0$

Graph the exponential function. - $f(x)=2^{|x|}$ $Graph the exponential function. - f(x)=2^{|x|}$

Express as the logarithm of a single expression. Assume that variables represent positive numbers. - $3 \log _ { x } 3 + \log _ { x } 2$

Solve. -Laura borrows $\$ 6250$ at a rate of $10 \%$ compounded semiannually. Find how much Laura owes at the end of 3 years. Use: $A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$ . Round to two decimal places.

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quad$ Find $( g \circ f ) ( 6 )$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 12: Exponential and Logarithmic Functions

Graph the inverse of the function on the same set of axes. -

Solve for x. - log⁡39=x\log _ { 3 } 9 = xlog3​9=x

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. inverse common composition symmetric exponential vertical logarithmic natural half-life horizontal -------------logarithms are logarithms to base 10.

Solve the logarithmic equation for x. Give an exact solution - ln⁡e7=x\ln \sqrt [ 7 ] { e } = xln7e​=x

Graph the exponential function. - f(x)=∣3x∣f(x)=\left|3^{x}\right|f(x)=∣3x∣

Solve the equation. Give an approximate solution to four decimal places. - 53x=4.15 ^ { 3 x } = 4.153x=4.1

Find the exact value. - log⁡102\log 10 ^ { 2 }log102

Write as a logarithmic equation. - 171/2=1717 ^ { 1 / 2 } = \sqrt { 17 }171/2=17​

Write as a logarithmic equation. - 102=10010 ^ { 2 } = 100102=100

For the given functions f and g, find the composition. - f(x)=x3+7x;g(x)=2xf ( x ) = x ^ { 3 } + 7 x ; g ( x ) = 2 x \quadf(x)=x3+7x;g(x)=2x Find (g∘f)(x)( g \circ f ) ( x )(g∘f)(x)

Find the inverse of the one-to-one function. - f(x)=85x+1f ( x ) = \frac { 8 } { 5 x + 1 }f(x)=5x+18​

The graph of an exponential function is given. Match the graph to one of the following functions. -

Fill in the blank with one of the words or phrases listed below. Some words or phrases may be used more than once. inverse common composition symmetric exponential vertical logarithmic natural half-life horizontal ----------------------logarithms are logarithms to base e.

Solve the equation. - ln⁡5+ln⁡(x−1)=0\ln 5 + \ln ( x - 1 ) = 0ln5+ln(x−1)=0

Graph the exponential function. - f(x)=2∣x∣f(x)=2^{|x|}f(x)=2∣x∣

Express as the logarithm of a single expression. Assume that variables represent positive numbers. - 3log⁡x3+log⁡x23 \log _ { x } 3 + \log _ { x } 23logx​3+logx​2

Solve. -Laura borrows $6250\$ 6250$6250 at a rate of 10%10 \%10% compounded semiannually. Find how much Laura owes at the end of 3 years. Use: A=P(1+rn)ntA = P \left( 1 + \frac { r } { n } \right) ^ { n t }A=P(1+nr​)nt . Round to two decimal places.

For the given functions f and g, find the composition. - f(x)=x2+3x;g(x)=xf ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quadf(x)=x2+3x;g(x)=x​ Find (g∘f)(6)( g \circ f ) ( 6 )(g∘f)(6)

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Solve for x. - $\log _ { 3 } 9 = x$

Solve the logarithmic equation for x. Give an exact solution - $\ln \sqrt [ 7 ] { e } = x$

Graph the exponential function. - $f(x)=\left|3^{x}\right|$ $Graph the exponential function. - f(x)=\left|3^{x}\right|$

Solve the equation. Give an approximate solution to four decimal places. - $5 ^ { 3 x } = 4.1$

Find the exact value. - $\log 10 ^ { 2 }$

Write as a logarithmic equation. - $17 ^ { 1 / 2 } = \sqrt { 17 }$

Write as a logarithmic equation. - $10 ^ { 2 } = 100$

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 3 } + 7 x ; g ( x ) = 2 x \quad$ Find $( g \circ f ) ( x )$

Find the inverse of the one-to-one function. - $f ( x ) = \frac { 8 } { 5 x + 1 }$

Solve the equation. - $\ln 5 + \ln ( x - 1 ) = 0$

Graph the exponential function. - $f(x)=2^{|x|}$ $Graph the exponential function. - f(x)=2^{|x|}$

Express as the logarithm of a single expression. Assume that variables represent positive numbers. - $3 \log _ { x } 3 + \log _ { x } 2$

Solve. -Laura borrows $\$ 6250$ at a rate of $10 \%$ compounded semiannually. Find how much Laura owes at the end of 3 years. Use: $A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$ . Round to two decimal places.

For the given functions f and g, find the composition. - $f ( x ) = x ^ { 2 } + 3 x ; g ( x ) = \sqrt { x } \quad$ Find $( g \circ f ) ( 6 )$