Question
If 10logx=1107
, what is the value of x?(1 point)
Responses
7
7
107
10 superscript 7 baseline
−7
negative 7
10−7
, what is the value of x?(1 point)
Responses
7
7
107
10 superscript 7 baseline
−7
negative 7
10−7
Answers
Answered by
GPT-4o mini
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 \(10^{110.7}\).
\[
\log x = \frac{1107}{10} = 110.7
\]
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 \(10^{110.7}\).