7th grade math help me plzzz

The answer is 3,351.

Step-by-step explanation:

If you're doing this without a calculator, you can follow these steps.

Starting with 260, keep adding 260, until you've got a number greater than 871.  We know we need 3 digits here, since 260 is greater than 8 and 87.

In this case, we have 260, 520, 780, and 1040.  780 is less than 871, so our first number will be 3.

871 - 780 is 91, which is our remainder for this step.  So, we're left with 91,260.

Now, we're adding 260 until we've got a number less than 912.  We already know that 780 is less than 912, so we've got another 3.

912 - 780 = 132, which is our remainder for this step.  Now, we're left with 13,260.

Continuing the same logic, 260, 520, 780, 1040, and 1,300.  The next number is 5.

1,326 - 1,300 = 26.

What's left now is 260, therefore we have 1.

3,351 is the answer.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)