Question 1

Find the following value. Round to four decimal places.
-ln 68

Accepted Answer

A) 4.2195 
B) 1 
C) 1.8325 
D) 0.5457 
A) 4.2195 
B) 1 
C) 1.8325 
D) 0.5457

Question 2

Solve the problem.
-Austin invested $12,000 in an account at 8% compounded quarterly. Find the amount in Austin's account after a period of 4 years.

Accepted Answer

A) $16,150.42 
B) $16,473.43 
C) $4473.43 
D) $16,325.87 
A) $16,150.42 
B) $16,473.43 
C) $4473.43 
D) $16,325.87

Question 3

Write the equation in exponential form.
-$\log _ { 1 / 2 } \left( \frac { 1 } { 8 } \right) = 3$

Accepted Answer

A)  $\left( \frac { 1 } { 2 } \right) ^ { 1 / 8 } = 3$ 
B)  $\left( \frac { 1 } { 2 } \right) ^ { 3 } = \frac { 1 } { 8 }$ 
C)  $\left( \frac { 1 } { 8 } \right) ^ { 3 } = \frac { 1 } { 2 }$ 
D)  $3 ^ { 1 / 2 } = \frac { 1 } { 8 }$ 
A)  $\left( \frac { 1 } { 2 } \right) ^ { 1 / 8 } = 3$ 
B)  $\left( \frac { 1 } { 2 } \right) ^ { 3 } = \frac { 1 } { 8 }$ 
C)  $\left( \frac { 1 } { 8 } \right) ^ { 3 } = \frac { 1 } { 2 }$ 
D)  $3 ^ { 1 / 2 } = \frac { 1 } { 8 }$

Question 4

Use properties of logarithms to expand the logarithmic expression as much as possible.
-$\log _ { 7 } \frac { \sqrt [ 5 ] { x } \sqrt [ 8 ] { y } } { z ^ { 2 } }$

Accepted Answer

A)  $\frac { 5 } { 7 } \log _ { 7 } x + \frac { 8 } { 7 } \log _ { 7 } y - \frac { 2 } { 7 } \log _ { 7 } z$ 
B)  $\frac { 1 } { 5 } \log _ { 7 } x + \frac { 1 } { 8 } \log _ { 7 } y - 2 \log _ { 7 } z$ 
C)  $\frac { 1 } { 5 } \log _ { 7 } x *  \frac { 1 } { 8 } \log _ { 7 } y \div 2 \log _ { 7 } z$ 
D)  $5 \log _ { 7 } x + 8 \log _ { 7 } y - 2 \log _ { 7 } z$ 
A)  $\frac { 5 } { 7 } \log _ { 7 } x + \frac { 8 } { 7 } \log _ { 7 } y - \frac { 2 } { 7 } \log _ { 7 } z$ 
B)  $\frac { 1 } { 5 } \log _ { 7 } x + \frac { 1 } { 8 } \log _ { 7 } y - 2 \log _ { 7 } z$ 
C)  $\frac { 1 } { 5 } \log _ { 7 } x *  \frac { 1 } { 8 } \log _ { 7 } y \div 2 \log _ { 7 } z$ 
D)  $5 \log _ { 7 } x + 8 \log _ { 7 } y - 2 \log _ { 7 } z$

Question 5

Solve the problem.
-How many times more intense is an earthquake that measures 7 on the Richter scale than an earthquake that measures 2?

Accepted Answer

A) 5 
B) 10,000 
C) 100,000 
D) 50 
A) 5 
B) 10,000 
C) 100,000 
D) 50

Question 6

Evaluate.
-$\log _ { 3 } 3$

Accepted Answer

A) 1 
B) 9 
C) 3 
D) 0 
A) 1 
B) 9 
C) 3 
D) 0

Question 7

Evaluate.
-$9 ^ { \log _ { 9 } 10 }$

Accepted Answer

A) 8 
B) 9 
C) 1 
D) 10 
A) 8 
B) 9 
C) 1 
D) 10

Question 8

Evaluate.
-$\log _ { 10 } 10,000$

Accepted Answer

A)  $\frac { 1 } { 10000 }$ 
B) 40 
C) -4 
D) 4 
A)  $\frac { 1 } { 10000 }$ 
B) 40 
C) -4 
D) 4

Question 9

Find the value obtained when 10 is raised to the given exponent. Round to three significant digits.
-4.8768

Accepted Answer

A) 0.753 
B) 75,700 
C) 75,300 
D) 0.688 
A) 0.753 
B) 75,700 
C) 75,300 
D) 0.688

Find the following value. Round to four decimal places. -ln 68

Solve the problem. -Austin invested $12,000 in an account at 8% compounded quarterly. Find the amount in Austin's account after a period of 4 years.

Write the equation in exponential form. - $\log _ { 1 / 2 } \left( \frac { 1 } { 8 } \right) = 3$

Use properties of logarithms to expand the logarithmic expression as much as possible. - $\log _ { 7 } \frac { \sqrt [ 5 ] { x } \sqrt [ 8 ] { y } } { z ^ { 2 } }$

Solve the problem. -How many times more intense is an earthquake that measures 7 on the Richter scale than an earthquake that measures 2?

Evaluate. - $\log _ { 3 } 3$

Evaluate. - $9 ^ { \log _ { 9 } 10 }$

Evaluate. - $\log _ { 10 } 10,000$

Find the value obtained when 10 is raised to the given exponent. Round to three significant digits. -4.8768

Basic Concepts

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Exam 9: Exponential and Logarithmic Functions