Chapter 10 Test

Which graph represents the function  $f\left(x\right)=4^x$   

• A

• B

• C

• D

 $4^x=\frac{1}{256}$  Solve the equation. Give the exact solution.

•  $\frac{1}{4}$  

• -4

•  $\frac{1}{64}$  

• 4

 $16^x=64^{\left(3x+3\right)}$  Solve the equation. Give the exact solution. 

•  $\frac{-9}{7}$  

•  $-\frac{3}{2}$  

•  $\frac{9}{7}$  

•  $-\frac{3}{7}$  

 $A\left(t\right)=264e^{0.031t}$  The growth in the population of a certain rodent at a dump site can be modeled by the exponential
function above , where t is the number of years since 1982. Estimate the population in the
year 2000.

• 476

• 461

• 231

• 272

 $10^{-4}=0.0001$  Write in logarithmic form.

•  $\log_4-4=0.1$  

•  $\log_40.10=-4$   

•  $\log_{10}0.0001=-4$  

•  $\log_{10}-4=0.0001$  

 $\log_5125=3$  Write in exponential form

•  $5^3=125$  

•  $125^3=5$  

•  $3^5=125$  

•  $5^{125}$  

 $\log_{\frac{1}{4}}x=-3$  Solve the Equation

•  $\frac{1}{64}$  

• 81

• 64

•  $\frac{1}{81}$  

 $\log_{125}5=x$  Solve the Equation

•  $-\frac{1}{3}$  

• -3

• 3

•  $\frac{1}{3}$  

 $\log_x125=3$  Solve the Equation

• 5 or -5

• 3 or -3

• 5

• 3

 $\log_416$  The value of this expression is __________. This means that if we raise ____ to the power ____ , the result
is ____.

• 2; 4; 2; 16

• 2; 2; 4; 16

• 4; 2; 2; 16

• 16; 2; 4; 2