Log question

Question

For what value(s) of x does log₂(log₃(log₄x))=0?

How to get an answer of x=64?

Answer 1

step 1)  work your way from the outside in on the left hand side staring with log base 2. Rewrite the equation in exponent form: log₃(log₄x) = 2⁰

step 2) 2⁰ = 1 so, log₃(log₄x) =1  then rewrite in exponent form again: 3¹ = log₄(x)

step 3) 3¹ = 3 so, 3 = log₄(x) then rewrite again in exponent form: 4³=x, 4 cubed is 4*4*4=64 which would be your answer x=64