gizmo987 gizmo987
  • 12-02-2020
  • Mathematics
contestada

Evaluate the expression. If necessary, round to the nearest hundredth.
7^log7 23
A. 7
B. 23
C. log7 23

Respuesta :

Poltergeist
Poltergeist Poltergeist
  • 25-02-2020

Answer:

B. 23.

Step-by-step explanation:

In the expression

[tex]7^{log_7 23 }[/tex]

the logarithm [tex]log_7(23)[/tex] 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 [tex]x[/tex], then we have

[tex]log_7(23)=x[/tex], which means

[tex]7^x=23[/tex]

or

[tex]\boxed{7^{log_7(23)}=23}[/tex]

which is Choice B.

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