Logarithms Review for Calculus

Linear Functions

Exponential Functions

Quadratic Functions

Polynomial Functions

Linear Functions

Polynomial Functions

Quadratic Functions

Logarithmic Functions

$1$

$10$

$e$

$\pi$

Product Property

Quotient Property

Power Property

Change of Base Property

 $\log_3\left(x\right)+\log_3\left(y\right)=\log_3\left(x+y\right)$  

 $\log_3\left(x\right)\cdot\log_3\left(y\right)=\log_3\left(xy\right)$  

 $\log_3\left(x\right)+\log_3\left(y\right)=\log_3\left(xy\right)$  

 $\log_3\left(x\right)\cdot\log_3\left(y\right)=\log_3\left(x+y\right)$  

 $\log_4\left(x\right)-\log_4\left(y\right)=\log_4\left(x-y\right)$  

 $\log_4\left(x\right)\div\log_4\left(y\right)=\log_4\left(\frac{x}{y}\right)$  

 $\log_4\left(x\right)-\log_4\left(y\right)=\log_4\left(\frac{x}{y}\right)$  

 $\log_4\left(x\right)\div\log_4\left(y\right)=\log_4\left(x-y\right)$  

$\log_5\left(m^n\right)=n+\log_5\left(m\right)$

$\log_5\left(m^n\right)=n\cdot\log_5\left(m\right)$

$\log_5\left(m^n\right)=\log_5\left(n\cdot m\right)$

$\log_5\left(m^n\right)=\log_{5n}\left(m\right)$

$\log_8\left(p\right)=\frac{\ln\left(p\right)}{\ln\left(8\right)}$

$\log_8\left(p\right)=\ln\left(p\right)\cdot\ln\left(8\right)$

$\log_8\left(p\right)=\ln\left(p\right)+\ln\left(8\right)$

$\log_8\left(p\right)=\frac{\log\left(p\right)}{\log\left(8\right)}$

$\log_8\left(p\right)=\frac{1}{\ln\left(8\right)}\cdot\ln\left(p\right)$