Evaluate $\displaystyle{{3}}^{{2}}\usepackage{cmbright}\Huge\$ : $\displaystyle{{9}}^{{{6}}}={{9}}^{{{2}{x}-{2}}}\usepackage{cmbright}\Huge\$

Because both exponential expressions have the same base, their exponents must be equal. Write a new equation that sets the exponents equal to each other:

$\displaystyle{6}={2}{x}-{2}\usepackage{cmbright}\Huge\$

Solve the linear equation as you normally would: $\displaystyle{8}={2}{x},{4}={x}\usepackage{cmbright}\Huge\$