Question

Select the correct answer.

Answer 1

Answer:

B.

Step-by-step explanation:

2,400 = 7,500$(10)^{x}$

First of all, you want to isolate the $(10)^{x}$ by dividing each side by 7,500.

After doing this, you will get

$\frac{2400}{7500}$ = $(10)^{-x}$.

Putting this in the logarithmic form, you get $log_{10}$ $\frac{2400}{7500}$ = - x

To get rid of the negative sign, you would simply multiply both dies of the equation by -1. So you would get  $-log_{10} \frac{2400}{7500}$ = x.

When you simplify 2400/7500, you get 8/25, so the answer is B.

Hope this helps!