ortizalexia2016 ortizalexia2016
  • 09-01-2021
  • Mathematics
contestada

Question 1 of 10
Which of these expressions is equivalent to log (9^2)?
A. 2. log (9)
B. log (2) + log (9)
O C. log (2) • log (9)
D. log (2) - log (9)

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 14-01-2021

Answer:

[tex]log(9^2) = 2\ log(9)[/tex]

Step-by-step explanation:

Given

[tex]log(9^2)[/tex]

Required

Select an equivalent expression

To answer this, we apply the following law of logarithm.

[tex]log(a^b) = b\ log(a)[/tex]

So:

[tex]log(9^2) = 2 * log(9)[/tex]

[tex]log(9^2) = 2\ log(9)[/tex]

Hence:

The equivalent expression is (a). [tex]2\ log(9)[/tex]

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