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Solve for x: \(\log_4 (\log_3 (\log_2 x)) = 0\)

 Dec 23, 2019
 #1
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I'm sorry. I copied the question wrong...

 Dec 23, 2019
edited by Omi67  Dec 24, 2019
 #2
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Solve for x:
log(log(log(x)/log(2))/log(3))/log(4) = 0

Multiply both sides by log(4):
log(log(log(x)/log(2))/log(3)) = 0

Cancel logarithms by taking exp of both sides:
log(log(x)/log(2))/log(3) = 1

Multiply both sides by log(3):
log(log(x)/log(2)) = log(3)

Cancel logarithms by taking exp of both sides:
log(x)/log(2) = 3

Multiply both sides by log(2):
log(x) = 3 log(2)

3 log(2) = log(2^3) = log(8):
log(x) = log(8)

Cancel logarithms by taking exp of both sides:
 
x = 8

 Dec 23, 2019

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