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

Question

4^(log_4 (100))

901 views around the world

You can reuse this answer
Creative Commons License

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.#