Question

If 10log x = 1107
, what is the value of x?(1 point)
Responses closest to answer?

-7
-7

10−7
10 to the negative 7 power

7
7

107

Answer 1

To solve for \( x \) in the equation \( 10 \log x = 1107 \), first, divide both sides by 10:

\[
\log x = \frac{1107}{10} = 110.7
\]

Next, we solve for \( x \) using the property of logarithms:

\[
x = 10^{110.7}
\]

This means that the value of \( x \) is:

\[
x = 10^{110.7}
\]

Now, let's look at the choices given.

- \( -7 \)
- \( 10^{-7} \)
- \( 7 \)
- \( 10^7 \)

None of these options match \( 10^{110.7} \). Given this discrepancy, the correct response seems to be missing from the provided options.

If you simply need to select from the closest to answer based on what's presented, none accurately represent \( x \). Nonetheless, if the options had included \( 10^{110.7} \) or something equivalent, that would be the correct choice.

Since there's no close match present, the problem may require reevaluation for correct options.