1. Divide both sides by 9:
8^{3x} = \frac{396}{9} 8^{3x} = 44 2. Take the logarithm of both sides:
\log(8^{3x}) = \log(44) 3. Apply the power rule for logarithms:
3x \cdot \log(8) = \log(44) 4. Solve for \( x \):
x = \frac{\log(44)}{3 \cdot \log(8)} x≈0.6067