Question

Evaluate the expression. If necessary, round to the nearest hundredth.

7^log7 23
A. 7
B. 23
C. log7 23

Answer 1

B. 23.

Explanation:

In the expression

`7^(log_7 23 )`

the logarithm
`log_7(23)` in the exponent is asking us the following question:

"to what power should I raise 7 to as to get 23?"

Let us call that number
`x`, then we have

`log_7(23)=x`, which means

`7^x=23`

or

`\boxed{7^(log_7(23))=23}`

which is Choice B.