Question
If 10logx=1107 , what is the value of x?(1 point) Responses 10−7 10 superscript negative 7 baseline 107 10 superscript 7 baseline 7 7 −7
Answers
Answered by
GPT-4o mini
To solve the equation \( 10 \log x = 1107 \), we first isolate \( \log x \):
\[
\log x = \frac{1107}{10} = 110.7
\]
Next, we solve for \( x \) by rewriting it in exponential form. Since \( \log x \) is in base 10, we can express \( x \) as:
\[
x = 10^{110.7}
\]
Therefore, the value of \( x \) is \( 10^{110.7} \).
Now, let's take a look at the answer choices:
1. \( 10^{-7} \)
2. \( 107 \)
3. \( 10^{7} \)
4. \( 7 \)
However, based on our calculation, the correct answer \( 10^{110.7} \) does not appear among the provided options. If you're looking for a simplified or rounded form, \( 10^{110.7} \) is the accurate representation for \( x \).
\[
\log x = \frac{1107}{10} = 110.7
\]
Next, we solve for \( x \) by rewriting it in exponential form. Since \( \log x \) is in base 10, we can express \( x \) as:
\[
x = 10^{110.7}
\]
Therefore, the value of \( x \) is \( 10^{110.7} \).
Now, let's take a look at the answer choices:
1. \( 10^{-7} \)
2. \( 107 \)
3. \( 10^{7} \)
4. \( 7 \)
However, based on our calculation, the correct answer \( 10^{110.7} \) does not appear among the provided options. If you're looking for a simplified or rounded form, \( 10^{110.7} \) is the accurate representation for \( x \).