Chapter 10 Review Part 1

Evaluate exactly.  $\log_4\left(64\right)^{\frac{1}{5}}$  

•  $\frac{3}{5}$  

•  $\frac{5}{4}$  

•  $\frac{4}{5}$  

• Does Not Exist 

Evaluate exactly.  $\ln\left(\frac{1}{e^2}\right)$  

Solve the equation.  $\log_b\left(x^2-7\right)=\frac{2}{3}\log_b\left(27\right)$  

• -4 , 4

• 4

•  $\sqrt{7}$  

•  $\pm\sqrt{7}$  

Solve the equation.  $\log_4\left(x^3-11\right)=2$  

Write in exponential form.  $\log_381=x$  

•  $x^3=81$  

•  $e^3=81$  

•  $3^x=81$  

•  $8^x=4$  

Solve the equation.  $\log_381=x$  

Solve the equation.  $\log_48=x$  

Evaluate.  $2\log\left(5\right)+\log\left(40\right)$  

Evaluate.  $3\log_26-\log_227$  

Given  $\log4\approx.6$  and  $\log5\approx.7$  , find  $\log20.$