6.4 Using the laws of logarithms

Simplify: ${\text{log}}_3\left(x^2\right)–{\text{log}}_3\left(x\right)$

Simplify: ${\text{log}}_3\left(9x\right)–{\text{log}}_3\left(x\right)$

Simplify: $\frac{\text{log}\left(x^2\right)}{\text{log}(x)}$

Solve for $x$ .

$\text{log}(2x+5)=\text{log}(8-x)$

Solve for $x$ :

$\text{log}\left(3\right)+\text{log}(x+2)=\text{log}\left(12\right)$

Solve for $x$ :

$\ln \left(x\right)+\ln (x-5)=\ln \left(14\right)$

Solve for $y$ in terms of $x$ :

$\text{log}\left(x\right)=\text{log}\left(5y\right)-\text{log}(3y-7)$