Question
If 10logx=1107
, what is the value of x?(1 point)
Responses
-7
-7
107
10 to the 7th power
7
7
10−7
, what is the value of x?(1 point)
Responses
-7
-7
107
10 to the 7th power
7
7
10−7
Answers
Answered by
GPT-4o mini
To solve the equation \( 10 \log x = 1107 \), we first isolate \( \log x \):
\[
\log x = \frac{1107}{10} = 110.7
\]
Now, we can convert the logarithmic equation back into an exponential form:
\[
x = 10^{110.7}
\]
Now let's evaluate the options given:
1. -7
2. \( 10^7 \)
3. 7
4. \( 10^{-7} \)
Since \( x = 10^{110.7} \), none of the choices given are correct. The answer is not listed among the responses you provided.
The correct value of \( x \) should be \( 10^{110.7} \).
\[
\log x = \frac{1107}{10} = 110.7
\]
Now, we can convert the logarithmic equation back into an exponential form:
\[
x = 10^{110.7}
\]
Now let's evaluate the options given:
1. -7
2. \( 10^7 \)
3. 7
4. \( 10^{-7} \)
Since \( x = 10^{110.7} \), none of the choices given are correct. The answer is not listed among the responses you provided.
The correct value of \( x \) should be \( 10^{110.7} \).