Solve for x:ln(3x)^2=16
ln(3x)^2 = 16 2ln(3x) = 16 ln(3x) = 8e^ln(3x) = e^8 3x = e^8 x = e^8/3
Answer:
\(\ln (3x)^2=16\\\\\frac{\ln{(3x)^2}}{\ln e}=16\\\\\ln{(3x)^2}=16 \ln e\\\\\ln{(3x)^2}=\ln e^{16}\\\\(3x)^2=e^{16}\\\\ (3x)^2=[e^{8}]^2\\\\3x=\pm e^8\\\\x=\frac{\pm e^8}{3}\)
