Question #e8967

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Answer 1 · 2017-07-03T21:12:30

#x = 8#

We have: #log_(4)(log_(3)(log_(2)(x))) = 0#

Using the laws of logarithms:

#Rightarrow log_(3)(log_(2)(x)) = 4^(0)#

#Rightarrow log_(3)(log_(2)(x)) = 1#

#Rightarrow log_(2)(x) = 3^(1)#

#Rightarrow log_(2)(x) = 3#

#Rightarrow x = 2^(3)#

#therefore x = 8#

Therefore, the solution to the equations is #x = 8#.