$\log_45x^2-3y$  

 $\log_4\ \frac{5x^2}{y^3}$  

 $\log_45x^2y^3$  

 $\log_4\ \frac{x^2\sqrt{x}}{y^3}$  

 $y^{18}=x$  

 $x^{18}=y$  

 $18^x=y$  

 $y^x=18$  

The expression  $3y-4$  cannot be factored. 

The expression  $3y-4$  is not raised to a power.

 $3y$  and  $4$  are neither multiplied together, nor are they divided into each other.

Each term in the expression does not have the same variable.

 $n$  

 $n^2$  

 $mn$  

 $2n$  

 $\log_327=3$  

 $\log_{\frac{1}{3}}3=27$  

 $\log_{27}3=\frac{1}{3}$  

 $\log_33=27$  

 $4$  

 $5$  

 $7$  

 $10$  

 $0.2435$  

 $1.4819$  

 $4.1060$  

 $2$  

 $\log1$  

 $\log\ \frac{2}{3}$  

 $\log5$  

 $\log6$  

 $2\cdot\log64$  

 $4\cdot\log1024$  

 $3\cdot\log16$  

 $6\cdot\log4$  

 $\log_6\left(x^2-3x\right)$  

 $\log_6\left(2x-3\right)$  

 $\log_{12}\left(x^2-3x\right)$  

 $\log_6\left(-x\right)$  

 $\log_8\left(\frac{3x-1}{x^5}\right)$  

 $\log_{16}\left(\frac{3x-1}{x^5}\right)$  

 $\log_8\left(\frac{3x-1}{5x}\right)$  

 $\log_8\left(x^5+3x-1\right)$