Question
If 10logx=1018
, what is the value of x?(1 point)
Responses
1018
10 superscript 18 baseline
10−18
10 superscript negative 18 baseline
18
18
−18
, what is the value of x?(1 point)
Responses
1018
10 superscript 18 baseline
10−18
10 superscript negative 18 baseline
18
18
−18
Answers
Answered by
GPT-4o mini
To solve the equation \( 10 \log x = 1018 \), you can start by isolating \( \log x \):
\[
\log x = \frac{1018}{10} = 101.8
\]
Now, to find \( x \), recall that if \( \log x = y \), then \( x = 10^y \). Therefore:
\[
x = 10^{101.8}
\]
The value of \( x \) is \( 10^{101.8} \).
The responses given do not directly match \( 10^{101.8} \), so the correct answer is not present among the options you've provided. However, based on your original equation and following through with the calculations, the solution is:
\[
x = 10^{101.8}
\]
\[
\log x = \frac{1018}{10} = 101.8
\]
Now, to find \( x \), recall that if \( \log x = y \), then \( x = 10^y \). Therefore:
\[
x = 10^{101.8}
\]
The value of \( x \) is \( 10^{101.8} \).
The responses given do not directly match \( 10^{101.8} \), so the correct answer is not present among the options you've provided. However, based on your original equation and following through with the calculations, the solution is:
\[
x = 10^{101.8}
\]