Question 1

Evaluate the function at the indicated value of $x = a ^ { 8 }$ $g ( x ) = \log _ { a } x$

Accepted Answer

A)  $- 8$ 
B)  8 
C)  0 
D)  $\frac { 1 } { 8 }$ 
E)  $- \frac { 1 } { 8 }$

Question 2

Determine the principal that must be invested at rate r, compounded monthly, so that $\$ 1,000,000$ will be available for retirement in t years. $r = 5 \% , t = 10$ (Round the answer upto 2 decimal places.)

Accepted Answer

A)  $\$ 707,161.04$ 
B)  $\$ 807,161.04$ 
C)  $\$ 607,161.04$ 
D)  $\$ 507,161.04$ 
E)  $\$ 407,161.04$

Question 3

Evaluate the function at the indicated value of $x$ . Round your result to three decimal places. 
$ \begin{array}{ll}\text { Function } & \text { Value } \ h(x)=e^{x} & x=7/8\end{array} $

Accepted Answer

A)  $0.417$ 
B)  $0.875$ 
C)  $8.07$ 
D)  $7.5$ 
E)  $1.398$

Question 4

Write the exponential equation in logarithmic form. $$3 ^ { - 2 } = \frac { 1 } { 9 }$$

Accepted Answer

A)  $\log _ { 9 } \frac { 1 } { 3 } = - 2$ 
B)  $\log _ { 3 } 9 = - 2$ 
C)  $\log _ { 3 } 9 = 2$ 
D)  $\log _ { 3 } \frac { 1 } { 9 } = 2$ 
E)  $\log _ { 3 } \frac { 1 } { 9 } = - 2$

Question 5

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. $\log _ { 4 } 9$

Accepted Answer

A)  $ 1.585 $ 
B)  $ 5.585 $ 
C)  $ 3.585 $ 
D)  $ 4.585 $ 
E)  $ 2.585 $

Question 6

Rewrite the logarithm as a ratio of common logarithms. $$\log _ { 5 } 18$$

Accepted Answer

A)  $\frac { \log 5 } { \log 18 }$ 
B)  $\log \frac { 5 } { 18 }$ 
C)  $\frac { \log 18 } { \log 5 }$ 
D)  $\log \frac { 18 } { 5 }$ 
E)  None of these

Exam 3: Exponential and Logarithmic Functions

Evaluate the function at the indicated value of $x = a ^ { 8 }$ $g ( x ) = \log _ { a } x$

Determine the principal that must be invested at rate r, compounded monthly, so that $\$ 1,000,000$ will be available for retirement in t years. $r = 5 \% , t = 10$ (Round the answer upto 2 decimal places.)

Evaluate the function at the indicated value of $x$ . Round your result to three decimal places. $\begin{array}{ll}\text { Function } & \text { Value } \\ h(x) =e^{x} & x=7/8\end{array}$

Write the exponential equation in logarithmic form. $3 ^ { - 2 } = \frac { 1 } { 9 }$

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. $\log _ { 4 } 9$

Rewrite the logarithm as a ratio of common logarithms. $\log _ { 5 } 18$

Exam 3: Exponential and Logarithmic Functions

Evaluate the function at the indicated value of x=a8x = a ^ { 8 }x=a8 g(x) =log⁡axg ( x ) = \log _ { a } xg(x) =loga​x

Determine the principal that must be invested at rate r, compounded monthly, so that $1,000,000\$ 1,000,000$1,000,000 will be available for retirement in t years. r=5%,t=10r = 5 \% , t = 10r=5%,t=10 (Round the answer upto 2 decimal places.)

Evaluate the function at the indicated value of xxx . Round your result to three decimal places. Function Value h(x) =exx=7/8 \begin{array}{ll}\text { Function } & \text { Value } \\ h(x) =e^{x} & x=7/8\end{array} Function h(x) =ex​ Value x=7/8​

Write the exponential equation in logarithmic form. 3−2=193 ^ { - 2 } = \frac { 1 } { 9 }3−2=91​

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. log⁡49\log _ { 4 } 9log4​9

Rewrite the logarithm as a ratio of common logarithms. log⁡518\log _ { 5 } 18log5​18

Evaluate the function at the indicated value of $x = a ^ { 8 }$ $g ( x ) = \log _ { a } x$

Determine the principal that must be invested at rate r, compounded monthly, so that $\$ 1,000,000$ will be available for retirement in t years. $r = 5 \% , t = 10$ (Round the answer upto 2 decimal places.)

Evaluate the function at the indicated value of $x$ . Round your result to three decimal places. $\begin{array}{ll}\text { Function } & \text { Value } \\ h(x) =e^{x} & x=7/8\end{array}$

Write the exponential equation in logarithmic form. $3 ^ { - 2 } = \frac { 1 } { 9 }$

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. $\log _ { 4 } 9$

Rewrite the logarithm as a ratio of common logarithms. $\log _ { 5 } 18$