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

4^(log_4 (100))

1 Answer
Dec 13, 2017

100.100.

Explanation:

Recall the following Definition of loglog function :

a^x=y iff x=log_ay.ax=yx=logay.

Substituting xx in the L.H.S., we get,

a^(log_ay)=y.alogay=y.

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

4^(log_4 100)=100.4log4100=100.