Question

Solve for x:
ln(3x)^2=16

Answer 1

ln(3x)^2 = 16
2ln(3x) = 16
ln(3x) = 8
e^ln(3x) = e^8
3x = e^8
x = e^8/3

Answer 2

`\ln (3x)^2=16\\\\(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=(\pm e^8)/(3)`