Approximate: log5 4/7

-2.8760

-0.3477

0.7124

1.3738

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.