Question

Solve for x and check. Enter only a number.
3^2x = 27

Answer 1

rewrite 27 as a base 3 exponent
3^(2x)=3^3
take the log base 3 of each side
log_3(3^2x)=log_3(3^3)
2xlog_3(3)=3log_3(3)
log_3(3)=1
2x(1)=3(1)
2x=3
x=3/2

Answer 2

Yes I agree with D above
Also in this special case, one could also use the inspection as follows:

\[3^{2x} = 27 \] \[=> 3^{2x} = 3^{3}\]=> 2x=3
=>x =3/2