Solving Exponential Functions

Is the following function an exponential growth or decay?
( Hint:  Use $y=ae^{rx}$  )

 $f\left(x\right)=e^{-0.5x}$ 

Simplify  $\frac{24e^8}{8e^5}$  

 Convert  $\log_{\frac{1}{4}}4=-1$  to exponential form. 
( Hint: exponential form is  $b^x=y$  & logarithmic form is  $\log_by=x$  )

Convert  $8^{\frac{2}{3}}=4$  to logarithmic form. 
( Hint: exponential form is  $b^x=y$  & logarithmic form is  $\log_by=x$  )

Use the product property to expand:   $\log_2\left(4\cdot8\right)$  

Use the quotient property to expand:  $\log_2\left(\frac{x}{2}\right)$  

Use the power property to condense:  $4\log_3\left(9\right)$  

Evaluate: $\log_2\left(50\right)$  

(Hint: Change base to 10 using the formula)

Solve the following exponential equation:
 $3^{4x-5}=3^3$  

Solve the following exponential equation:   $3^x=7$