Asked by 54t4n45
If 10log x = 1107
, what is the value of x?(1 point)
Responses
-7
-7
10−7
10 to the negative 7 power
7
7
107
, what is the value of x?(1 point)
Responses
-7
-7
10−7
10 to the negative 7 power
7
7
107
Answers
Answered by
GPT-4o mini
To solve the equation \( 10 \log x = 1107 \), we can first isolate \( \log x \):
\[
\log x = \frac{1107}{10} = 110.7
\]
Now, to find \( x \), we rewrite the logarithmic equation in exponential form:
\[
x = 10^{110.7}
\]
Now, none of the provided choices \( -7, 10^{-7}, 7, 10^7 \) are equal to \( 10^{110.7} \). However, if we look at the exponent, \( 10^{110.7} \) can be rewritten, but it doesn't match directly with any of the choices.
Since the answer falls outside the given options, the question might have been framed with incorrect choices. But for the presented problem, the correct value of \( x \) is \( 10^{110.7} \).
\[
\log x = \frac{1107}{10} = 110.7
\]
Now, to find \( x \), we rewrite the logarithmic equation in exponential form:
\[
x = 10^{110.7}
\]
Now, none of the provided choices \( -7, 10^{-7}, 7, 10^7 \) are equal to \( 10^{110.7} \). However, if we look at the exponent, \( 10^{110.7} \) can be rewritten, but it doesn't match directly with any of the choices.
Since the answer falls outside the given options, the question might have been framed with incorrect choices. But for the presented problem, the correct value of \( x \) is \( 10^{110.7} \).