M4 Evaluating and Condensing/Expanding Logs

$$\log\ \left(a^5+b^{25}\right)$$  

$$\log\ \left(a^5-b^{25}\right)$$  

$$\log\ \left(ab\right)^{25}$$  

$$\log_{ }\ \left(\frac{a^5}{b^{25}}\right)$$  

$\frac{1}{5}\log32x$

$\frac{1}{5}\log32+\frac{1}{5}\log x$

$2+\frac{1}{5}\log x$

$\log2+\frac{1}{5}\log x$

 $\log_9\left(32x\right)$ 

 $\log_9\left(\frac{32}{x}\right)$ 

 $\log_9\left(\frac{8}{x}\right)$ 

 $\log_98x$   

$$\log_65x^3-\log_6y$$  

$$\log_65+\log_6x^3-\log_6y$$  

$$\log_65+3\log_6x-\log_6y$$  

$$\log_65+3\log_6x+\log_6y$$