Question

Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?

Answer 1

$\frac{log 25}{log 8}$ is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

Given that, Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

We need to determine the expression did Devonte use.

What is the formula of change of base formula?

The change of base formula says $log_{a} b=\frac{log_{c}b }{log_{c}a}$. It means to change the base of a logarithm logb b a, we just use division $\frac{log a}{log b}$ where these logarithms can have any positive number as a base.

Now, log Subscript 8 Baseline 25 $=log_{8}25$

$=\frac{log_{10}25 }{log_{10}8}=\frac{log 25}{log 8}$

Therefore, $\frac{log 25}{log 8}$ is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.

To learn more about the logarithms visit:

brainly.com/question/20785664.

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Answer 2

Answer:

D

Step-by-step explanation: