How do you evaluate log4164?

2 Answers
Jul 9, 2015

logb1=0, for any base.

Explanation:

So we get 164

Jul 9, 2015

If the question was intended to be: Find log4(164), then the answer is 3.

Explanation:

Remember that the log base 4 of a number is the exponent needed on 4 to get that number.

164=143=43

Now what exponent do I need to put on 4, in order to get 43?

(Yes, it is a self-answering question. It's fun to think of other self-answering questions. OK, it might be nerdy fun.)

log443=3