Question

Use an inverse property to evaluate 6^(log 6 19).

Answer 1

First, I would like for you to understand this. Then after you understand...it will become automatic.

Answer 2

Think about the exponent only:
\[\log_{6}19 \]

Answer 3

A log is an exponent so that expression is talking about an exponent

Answer 4

And this is the exponent it is referencing: it is an exponent that should be placed on the base 6. Do you understand that?

Answer 5

So would I first evaluate log6 19?

Answer 6

Do you understand what I wrote so far?

Answer 7

I believe so.

Answer 8

And if that exponent is placed on the base 6, the result will be 19

Answer 9

So notice...in this problem, that exponent HAS BEEN PLACED on the base 6. So what is the result?