Question 1

Solve the logarithmic equation. $\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )$

Accepted Answer

The answer of Solve the logarithmic equation. \(\log ( 3...

Question 2

Solve the equation. $4 ^ { 2 x - 4 } = \frac { 1 } { 256 }$

Accepted Answer

A)  x = 2 
B)  x = 0 
C)  x = 1 
D)  x = $-$ 2 
A)  x = 2 
B)  x = 0 
C)  x = 1 
D)  x = $-$ 2

Question 3

Solve the equation. $\left( \frac { 1 } { 3 } \right) ^ { x } = \frac { 1 } { 81 }$

Accepted Answer

The answer of Solve the equation. \(\left( \frac { 1...

Question 4

Graph the function $$y = - 6 + \log _ { 2 } x$$ . Remember that the graph of $$f ( x ) = \log _ { 2 } x$$ is given.

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 5

True or false? The function below is one-to-one. f ( x ) = | x | + 1

Accepted Answer

A) True 
 B)False

Question 6

Use your calculator to find x when given ln x . Please give the answer to four decimal places. $\ln x = 0.8335$

Accepted Answer

A)  2.3314 
B)  2.3514 
C)  2.3214 
D)  2.2914 
E)  2.3014 
A)  2.3314 
B)  2.3514 
C)  2.3214 
D)  2.2914 
E)  2.3014

Question 7

The half-life of a radioactive substance is the amount of time that it takes for one-half of an initial amount of the substance to disappear as the result of decay.

Accepted Answer

A) True 
 B)False

Question 8

True or false? The function below is one-to-one. f ( x ) = x 7

Accepted Answer

A) True 
 B)False

Question 9

Graph the exponential function. $f ( x ) = e ^ { x } + 5$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Mark became overextended in his gambling debt and could not pay $750 he owed. The loan person said he could have five weeks to pay off the $750 at 8% interest per week compounded continuously. How much will Mark have to pay at the end of the five weeks? Please round the answer to the nearest hundredth.

Accepted Answer

A)  $1,118.87 
B)  $1,119.07 
C)  $1,119.02 
D)  $1,118.97 
E)  $1,118.92 
A)  $1,118.87 
B)  $1,119.07 
C)  $1,119.02 
D)  $1,118.97 
E)  $1,118.92

Question 11

The equation $\log x + \log ( x - 6 ) = 5$ is equivalent to $x ^ { 2 } - 6 x = 5$

Accepted Answer

A) True 
 B)False

Question 12

True or false? The function below is one-to-one. f ( x ) = 5 x + 3

Accepted Answer

A) True 
 B)False

Question 13

Solve the equation. $4 ^ { 2 x - 3 } = 64$

Accepted Answer

A)  x = 3 
B)  x = $-$ 3 
C)  x = $-$ 5 
D)  x = 5 
E)  x = 4 
A)  x = 3 
B)  x = $-$ 3 
C)  x = $-$ 5 
D)  x = 5 
E)  x = 4

Question 14

Solve the equation. $\left( 4 ^ { 4 x - 7 } \right) \left( 4 ^ { x + 2 } \right) = 4$ Please enter your answer as a fraction.

Accepted Answer

The answer of Solve the equation. \(\left( 4 ^ {...

Question 15

Solve the logarithmic equation. $\log ( 29 x - 1 ) = 1 + \log ( 6 x - 3 )$

Accepted Answer

A)  $x = 29$ 
B)  $x = 31$ 
C)  $x = \frac { 31 } { 29 }$ 
D)  $x = \frac { 29 } { 31 }$ 
A)  $x = 29$ 
B)  $x = 31$ 
C)  $x = \frac { 31 } { 29 }$ 
D)  $x = \frac { 29 } { 31 }$

Question 16

If $b > 0$ and $b \neq 1$ , then the function f defined by $f ( x ) = b ^ { x }$ where x is any real number, is called the power function with base b .

Accepted Answer

A) True 
 B)False

Question 17

Use a calculator to find each common logarithm. Express answer to four decimal places. $\ln 5$

Accepted Answer

The answer of Use a calculator to find each common...

Question 18

Evaluate the expression log 39.

Accepted Answer

Question 19

Solve the equation. $( 256 ) \left( 4 ^ { x } \right) = 64 ^ { x }$

Accepted Answer

A)  x = $-$ 2 
B)  x = 4 
C)  x = $-$ 4 
D)  x = 3 
E)  x = 2 
A)  x = $-$ 2 
B)  x = 4 
C)  x = $-$ 4 
D)  x = 3 
E)  x = 2

Question 20

Use a calculator to find each common logarithm. Express answer to four decimal places. $\log 7.79$

Accepted Answer

A)  0.9115 
B)  0.8615 
C)  0.8915 
D)  1.3915 
E)  0.9915 
A)  0.9115 
B)  0.8615 
C)  0.8915 
D)  1.3915 
E)  0.9915

Solve the logarithmic equation. $\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )$

Solve the equation. $4 ^ { 2 x - 4 } = \frac { 1 } { 256 }$

Solve the equation. $\left( \frac { 1 } { 3 } \right) ^ { x } = \frac { 1 } { 81 }$

Graph the function $y = - 6 + \log _ { 2 } x$ . Remember that the graph of $f ( x ) = \log _ { 2 } x$ is given. $Graph the function y = - 6 + \log _ { 2 } x . Remember that the graph of f ( x ) = \log _ { 2 } x is given.$

True or false? The function below is one-to-one. f ( x ) = | x | + 1

Use your calculator to find x when given ln x . Please give the answer to four decimal places. $\ln x = 0.8335$

The half-life of a radioactive substance is the amount of time that it takes for one-half of an initial amount of the substance to disappear as the result of decay.

True or false? The function below is one-to-one. f ( x ) = x ⁷

Graph the exponential function. $f ( x ) = e ^ { x } + 5$

The equation $\log x + \log ( x - 6 ) = 5$ is equivalent to $x ^ { 2 } - 6 x = 5$

True or false? The function below is one-to-one. f ( x ) = 5 x + 3

Solve the equation. $4 ^ { 2 x - 3 } = 64$

Solve the equation. $\left( 4 ^ { 4 x - 7 } \right) \left( 4 ^ { x + 2 } \right) = 4$ Please enter your answer as a fraction.

Solve the logarithmic equation. $\log ( 29 x - 1 ) = 1 + \log ( 6 x - 3 )$

If $b > 0$ and $b \neq 1$ , then the function f defined by $f ( x ) = b ^ { x }$ where x is any real number, is called the power function with base b .

Use a calculator to find each common logarithm. Express answer to four decimal places. $\ln 5$

Evaluate the expression log ₃9.

Solve the equation. $( 256 ) \left( 4 ^ { x } \right) = 64 ^ { x }$

Use a calculator to find each common logarithm. Express answer to four decimal places. $\log 7.79$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 14: Exponential and Logarithmic Functions

Solve the logarithmic equation. log⁡(3x−1)=1+log⁡(5x−2)\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )log(3x−1)=1+log(5x−2)

Solve the equation. 42x−4=12564 ^ { 2 x - 4 } = \frac { 1 } { 256 }42x−4=2561​

Solve the equation. (13)x=181\left( \frac { 1 } { 3 } \right) ^ { x } = \frac { 1 } { 81 }(31​)x=811​

Graph the function y=−6+log⁡2xy = - 6 + \log _ { 2 } xy=−6+log2​x . Remember that the graph of f(x)=log⁡2xf ( x ) = \log _ { 2 } xf(x)=log2​x is given.

True or false? The function below is one-to-one. f ( x ) = | x | + 1

Use your calculator to find x when given ln x . Please give the answer to four decimal places. ln⁡x=0.8335\ln x = 0.8335lnx=0.8335

The half-life of a radioactive substance is the amount of time that it takes for one-half of an initial amount of the substance to disappear as the result of decay.

True or false? The function below is one-to-one. f ( x ) = x 7

Graph the exponential function. f(x)=ex+5f ( x ) = e ^ { x } + 5f(x)=ex+5

The equation log⁡x+log⁡(x−6)=5\log x + \log ( x - 6 ) = 5logx+log(x−6)=5 is equivalent to x2−6x=5x ^ { 2 } - 6 x = 5x2−6x=5

True or false? The function below is one-to-one. f ( x ) = 5 x + 3

Solve the equation. 42x−3=644 ^ { 2 x - 3 } = 6442x−3=64

Solve the equation. (44x−7)(4x+2)=4\left( 4 ^ { 4 x - 7 } \right) \left( 4 ^ { x + 2 } \right) = 4(44x−7)(4x+2)=4 Please enter your answer as a fraction.

Solve the logarithmic equation. log⁡(29x−1)=1+log⁡(6x−3)\log ( 29 x - 1 ) = 1 + \log ( 6 x - 3 )log(29x−1)=1+log(6x−3)

If b>0b > 0b>0 and b≠1b \neq 1b=1 , then the function f defined by f(x)=bxf ( x ) = b ^ { x }f(x)=bx where x is any real number, is called the power function with base b .

Use a calculator to find each common logarithm. Express answer to four decimal places. ln⁡5\ln 5ln5

Evaluate the expression log 39.

Solve the equation. (256)(4x)=64x( 256 ) \left( 4 ^ { x } \right) = 64 ^ { x }(256)(4x)=64x

Use a calculator to find each common logarithm. Express answer to four decimal places. log⁡7.79\log 7.79log7.79

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Systems of Equations: Matrices and Determinants

Filters

Solve the logarithmic equation. $\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )$

Solve the equation. $4 ^ { 2 x - 4 } = \frac { 1 } { 256 }$

Solve the equation. $\left( \frac { 1 } { 3 } \right) ^ { x } = \frac { 1 } { 81 }$

Graph the function $y = - 6 + \log _ { 2 } x$ . Remember that the graph of $f ( x ) = \log _ { 2 } x$ is given. $Graph the function y = - 6 + \log _ { 2 } x . Remember that the graph of f ( x ) = \log _ { 2 } x is given.$

Use your calculator to find x when given ln x . Please give the answer to four decimal places. $\ln x = 0.8335$

True or false? The function below is one-to-one. f ( x ) = x ⁷

Graph the exponential function. $f ( x ) = e ^ { x } + 5$

The equation $\log x + \log ( x - 6 ) = 5$ is equivalent to $x ^ { 2 } - 6 x = 5$

Solve the equation. $4 ^ { 2 x - 3 } = 64$

Solve the equation. $\left( 4 ^ { 4 x - 7 } \right) \left( 4 ^ { x + 2 } \right) = 4$ Please enter your answer as a fraction.

Solve the logarithmic equation. $\log ( 29 x - 1 ) = 1 + \log ( 6 x - 3 )$

If $b > 0$ and $b \neq 1$ , then the function f defined by $f ( x ) = b ^ { x }$ where x is any real number, is called the power function with base b .

Use a calculator to find each common logarithm. Express answer to four decimal places. $\ln 5$

Evaluate the expression log ₃9.

Solve the equation. $( 256 ) \left( 4 ^ { x } \right) = 64 ^ { x }$

Use a calculator to find each common logarithm. Express answer to four decimal places. $\log 7.79$