Correct. Rewrite the logarithmic equation as an exponential equation: $\displaystyle{{8}}^{{3}}={2}{{x}}^{{2}}\usepackage{cmbright}\Huge\$

Evaluate $\displaystyle{{8}}^{{3}}\usepackage{cmbright}\Huge\$ : $\displaystyle{512}={2}{{x}}^{{2}}\usepackage{cmbright}\Huge\$

Divide both sides by 2: $\displaystyle{256}={{x}}^{{2}}\usepackage{cmbright}\Huge\$

Use the square root property to find the values for x: $\displaystyle{x}=\pm{16}\usepackage{cmbright}\Huge\$