Logarithms Level 2

Condense to one logarithm.

 $\log_35+\log_3y$  

•  $\log_3\left(5+y\right)$  

•  $\log3^{5y}$  

•  $\log_35y$  

•  $\log_3y^5$  

Condense to one logarithm.

 $\log x-2\log y$  

•  $\log\frac{x}{y^2}$  

•  $\log_2\frac{x}{y}$  

•  $\frac{\log x}{\log y^2}$  

•  $\log\left(x-2y\right)$  

Condense to a single logarithm.

 $2\log_4x+1$  

•  $\log_4x^2$  

•  $\log_44x^2$  

•  $\log_4\left(2x-1\right)$  

•  $\log_4\left(x^2+4\right)$  

Condense to one logarithm.

 $\log_2h+4\log_2p-3\log_2b$  

•  $\frac{\log_2hp^4}{\log b^3}$  

•  $\log_2\left(hp^4b^3\right)$  

•  $\log_2\left(h+4p-3b\right)$  

•  $\log_2\left(\frac{hp^4}{b^3}\right)$  

Evaluate the log. Type your answer as just a number. No spaces. 

 $\log_{\frac{1}{2}}8=$  

Evaluate the log. Type your answer as just a number. No spaces. 

 $\log_3\sqrt{81}=$