Respuesta :

carlosego
The correct answer is the second option, which is: -0.3477

 The explanation is shown below:

 1. You have the following logarithm:

 log5(4/7)

 2. By the logarithms properties you have:

 log5(4)-log5(7)

 3. When you solve it, you obtain:

 0.8613-1.2090

 4. Therefore, as you can see, you obtain that the result is:

 -0.3477

 which is the second option shown above.
abidemiokin

Given the logarithm function [tex]log_5 (\frac{4}{7} )[/tex]

The result for the log function [tex]log_5 (\frac{4}{7} )[/tex]is -0.3477

This expression can also be written as:

[tex]log_54 + log_57[/tex]

Evaluating each term

[tex]log_54 = 0.8613\\log_57=1.2090[/tex]

Substituting the result into the formula, will give;

[tex]=log_54 + log_57\\=0.8613-1.2090\\=-0.3477[/tex]

Hence the result for the log function [tex]log_5 (\frac{4}{7} )[/tex]is -0.3477

Learn more here: https://brainly.com/question/12049968

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