Question 1

Find the graph of the function.  $y = \log _ { 2 } x$

Accepted Answer

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

Question 2

Evaluate the function $f ( x ) = - 0.944 \ln x$ at $x = 1.906$ .Round to 3 decimal places.(You may use your calculator.)

Accepted Answer

A) -0.587 
B) 0.609 
C) -0.609 
D) 0.683 
E) undefined 
A) -0.587 
B) 0.609 
C) -0.609 
D) 0.683 
E) undefined

Question 3

Use the One-to-One Property to solve the equation for x.$\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4$

Accepted Answer

A)  $\frac { 3 } { 2 }$ 
B) -2 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  $\frac { 2 } { 3 }$ 
A)  $\frac { 3 } { 2 }$ 
B) -2 
C)  $- \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  $\frac { 2 } { 3 }$

Question 4

Evaluate the function at the indicated value of x.Round the result to three decimal places. 
Function
Value $h ( x ) = 4000 e ^ { 0.06 x }$ $x = 5$

Accepted Answer

A)  $5599.435$ 
B)  $5499.435$ 
C)  $5449.435$ 
D)  $5749.435$ 
E)  $5399.435$ 
A)  $5599.435$ 
B)  $5499.435$ 
C)  $5449.435$ 
D)  $5749.435$ 
E)  $5399.435$

Question 5

Rewrite the logarithm as a ratio of natural logarithms. 
Log5 19

Accepted Answer

A)  $\ln \frac { 5 } { 19 }$ 
B)  $\ln \frac { 19 } { 5 }$ 
C)  $\frac { \ln 5 } { \ln 19 }$ 
D)  $\frac { \ln 19 } { \ln 5 }$ 
E) None of these 
A)  $\ln \frac { 5 } { 19 }$ 
B)  $\ln \frac { 19 } { 5 }$ 
C)  $\frac { \ln 5 } { \ln 19 }$ 
D)  $\frac { \ln 19 } { \ln 5 }$ 
E) None of these

Question 6

Find the value of b that would cause the graph of y = bx to look like the graph indicated.

Accepted Answer

A)  $b = \frac { 1 } { 4 }$ 
B)  $b = \frac { 3 } { 4 }$ 
C)  $b = 4$ 
D)  $b = - 4$ 
E)  $b = - \frac { 1 } { 4 }$ 
A)  $b = \frac { 1 } { 4 }$ 
B)  $b = \frac { 3 } { 4 }$ 
C)  $b = 4$ 
D)  $b = - 4$ 
E)  $b = - \frac { 1 } { 4 }$

Find the graph of the function. $y = \log _ { 2 } x$

Evaluate the function $f ( x ) = - 0.944 \ln x$ at $x = 1.906$ .Round to 3 decimal places.(You may use your calculator.)

Use the One-to-One Property to solve the equation for x. $\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4$

Evaluate the function at the indicated value of x.Round the result to three decimal places. Function Value $h ( x ) = 4000 e ^ { 0.06 x }$ $x = 5$

Rewrite the logarithm as a ratio of natural logarithms. Log₅ 19

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.

Functions and Their Graphs

Polynomial and Rational Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 3: Exponential and Logarithmic Functions

Find the graph of the function. y=log⁡2xy = \log _ { 2 } xy=log2​x

Evaluate the function f(x)=−0.944ln⁡xf ( x ) = - 0.944 \ln xf(x)=−0.944lnx at x=1.906x = 1.906x=1.906 .Round to 3 decimal places.(You may use your calculator.)

Use the One-to-One Property to solve the equation for x. log⁡6(8x+8)=log⁡64\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4log6​(8x+8)=log6​4

Evaluate the function at the indicated value of x.Round the result to three decimal places. Function Value h(x)=4000e0.06xh ( x ) = 4000 e ^ { 0.06 x }h(x)=4000e0.06x x=5x = 5x=5

Rewrite the logarithm as a ratio of natural logarithms. Log5 19

Find the value of b that would cause the graph of y = bx to look like the graph indicated.

Functions and Their Graphs

Polynomial and Rational Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Find the graph of the function. $y = \log _ { 2 } x$

Evaluate the function $f ( x ) = - 0.944 \ln x$ at $x = 1.906$ .Round to 3 decimal places.(You may use your calculator.)

Use the One-to-One Property to solve the equation for x. $\log _ { 6 } ( 8 x + 8 ) = \log _ { 6 } 4$

Evaluate the function at the indicated value of x.Round the result to three decimal places. Function Value $h ( x ) = 4000 e ^ { 0.06 x }$ $x = 5$

Rewrite the logarithm as a ratio of natural logarithms. Log₅ 19

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.