Question: (2) $2^{3x-2} = 64$

Solution

Rewrite \(64\) as a power of \(2\). \[ 64 = 2^6 \] Set the exponents equal. \[ 3x - 2 = 6 \] Solve for \(x\). \[ 3x = 8 \] \[ x = \frac{8}{3} \]