If 10logx=1107

, what is the value of x?(1 point)
Responses

7
7

107
10 superscript 7 baseline

−7
negative 7

10−7

1 answer

To solve the equation \(10 \log x = 1107\), we will first isolate \(\log x\):

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

Next, we convert the logarithmic form to its exponential form:

\[ x = 10^{110.7} \]

Now, let's analyze the responses you provided:

  1. \(7\)
  2. \(10^7\)
  3. \(-7\)
  4. \(10^{-7}\)

The value \(10^{110.7}\) does not match any of the given options. Therefore, none of the provided responses are correct. The value of \(x\) is \(10^{110.7}\).