How do you solve 4^(log_4 (100)) ??

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4^(log_4 (100))

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Answer 1 · 2017-12-13T07:17:15

# 100.#

Recall the following Definition of #log# function :

#a^x=y iff x=log_ay.#

Substituting #x# in the L.H.S., we get,

#a^(log_ay)=y.#

With #a=4, and y=100,#

#4^(log_4 100)=100.#