Question 1

Solve the exponential equation. Round your answer to two decimal places. $7 ^ { x + 4 } = 26$

Accepted Answer

A)  x=-2.59 
B)  x=-2.33 
C)  x=-0.74 
D)  x=-3.40 
E)  x=4.60 
A)  x=-2.59 
B)  x=-2.33 
C)  x=-0.74 
D)  x=-3.40 
E)  x=4.60

Question 2

Use the properties of logarithms to condense $\log _ { 7 } x - \log _ { 7 } 4$ .

Accepted Answer

A)  $\log _ { 7 } ( x - 4 )$ 
B)  $\log _ { 7 } \frac { x } { 4 }$ 
C)  $\left( \log _ { 7 } x \right) ^ { 1 / 4 }$ 
D)  $\frac { \log _ { 7 } x } { \log _ { 7 } 4 }$ 
E)  $\log _ { 7 } 4 x$ 
A)  $\log _ { 7 } ( x - 4 )$ 
B)  $\log _ { 7 } \frac { x } { 4 }$ 
C)  $\left( \log _ { 7 } x \right) ^ { 1 / 4 }$ 
D)  $\frac { \log _ { 7 } x } { \log _ { 7 } 4 }$ 
E)  $\log _ { 7 } 4 x$

Question 3

Graph the function $f ( x ) = - \log _ { 2 } x - 1$ .

Accepted Answer

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

Question 4

Use the properties of logarithms to condense $\log _ { 12 } ( x + 4 ) - 4 \log _ { 12 } x$ .

Accepted Answer

A)  $\log _ { 12 } \left( x + 4 - x ^ { 4 } \right)$ 
B)  $\log _ { 12 } \left( \frac { x + 4 } { x } \right) ^ { 4 }$ 
C)  $\log _ { 12 } ( - 3 x + 4 )$ 
D)  $\log _ { 12 } \frac { x + 4 } { 4 x }$ 
E)  $\log _ { 12 } \frac { x + 4 } { x ^ { 4 } }$ 
A)  $\log _ { 12 } \left( x + 4 - x ^ { 4 } \right)$ 
B)  $\log _ { 12 } \left( \frac { x + 4 } { x } \right) ^ { 4 }$ 
C)  $\log _ { 12 } ( - 3 x + 4 )$ 
D)  $\log _ { 12 } \frac { x + 4 } { 4 x }$ 
E)  $\log _ { 12 } \frac { x + 4 } { x ^ { 4 } }$

Question 5

Suppose you make monthly deposits of P dollars in a savings account at an annual interest rate r , compounded continuously. Find the balance A after t years given that $A = \frac { P \left( e ^ { n } - 1 \right) } { e ^ { t / 12 } - 1 }$ where $P = 60 , r = 3 \%$ ans $t = 40$ years. Round your answer to two decimal places.

Accepted Answer

A) $926.89 
B) $111,227.46 
C) $79,583.24 
D) $103,553.26 
E) $55,613.23 
A) $926.89 
B) $111,227.46 
C) $79,583.24 
D) $103,553.26 
E) $55,613.23

Solve the exponential equation. Round your answer to two decimal places. $7 ^ { x + 4 } = 26$

Use the properties of logarithms to condense $\log _ { 7 } x - \log _ { 7 } 4$ .

Graph the function $f ( x ) = - \log _ { 2 } x - 1$ .

Use the properties of logarithms to condense $\log _ { 12 } ( x + 4 ) - 4 \log _ { 12 } x$ .

Fundamentals of Algebra

Linear Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 9: Exponential and Logarithmic Functions

Solve the exponential equation. Round your answer to two decimal places. 7x+4=267 ^ { x + 4 } = 267x+4=26

Use the properties of logarithms to condense log⁡7x−log⁡74\log _ { 7 } x - \log _ { 7 } 4log7​x−log7​4 .

Graph the function f(x)=−log⁡2x−1f ( x ) = - \log _ { 2 } x - 1f(x)=−log2​x−1 .

Use the properties of logarithms to condense log⁡12(x+4)−4log⁡12x\log _ { 12 } ( x + 4 ) - 4 \log _ { 12 } xlog12​(x+4)−4log12​x .

Fundamentals of Algebra

Linear Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Conics

Sequences, Series, and the Binomial Theorem

Filters

Solve the exponential equation. Round your answer to two decimal places. $7 ^ { x + 4 } = 26$

Use the properties of logarithms to condense $\log _ { 7 } x - \log _ { 7 } 4$ .

Graph the function $f ( x ) = - \log _ { 2 } x - 1$ .

Use the properties of logarithms to condense $\log _ { 12 } ( x + 4 ) - 4 \log _ { 12 } x$ .