18^(4-4y)=54(sqrt(2))^(3y-2)

Question

step plz help me

Answer 1

18^(4-4y)=54(√2)^(3y-2)
take log of both sides
(4-4y)log18 = lof54 + (1/2)(3y-2)log2
4log18 - 4ylog18 = log54 + (3y/2)log2 - log2
4log18 - log54 + log2 = y( (3/2)log2 + 4log18)

3.58972... = (5.4726...) y

y = .655941