how to work this problem?

Question

Write the solution of the equation log base 27 (4x-3)=1/3 as a number only. Round your answer to 1 decimal place.

Answer 1

log₂₇(4x-3)=1/3

27^(1/3)=4x-3

the cube root of 27 is 3

3=4x-3

6=4x

6/4=x

x=3/2=1.5