Incorrect. Take the common logarithm of both sides: $\displaystyle{{\log{{10}}}}^{{{3}{x}-{13}}}={\log{{100}}},{000}\usepackage{cmbright}\Huge\$

Remember that: $\displaystyle{\log}_{{{b}}}{{b}}^{{m}}={m}\usepackage{cmbright}\Huge\$

Evaluate the logarithm. This will give you a linear equation. Solve the equation. The correct answer is 6.