If 10logx=1107

Question

10
log
⁡
𝑥
=
1
10
7
, what is the value of x?(1 point)
Responses

-7
-7

7
7

10−7
10
−
7
10 to the negative 7 power

107

Answer 1

To solve the equation \(10 \log x = 1107\), we can start by isolating \( \log x\):

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

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

\[ x = 10^{110.7} \]

Now, looking at the response options:

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

None of these options match \(x = 10^{110.7}\).

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