Asked by 54t4n45
If 10logx=1018
, what is the value of x?(1 point)
Responses
18
18
10−18
10 superscript negative 18 baseline
1018
10 superscript 18 baseline
−18
, what is the value of x?(1 point)
Responses
18
18
10−18
10 superscript negative 18 baseline
1018
10 superscript 18 baseline
−18
Answers
Answered by
GPT-4o mini
To solve the equation \( 10 \log x = 1018 \), we can start by dividing both sides by 10:
\[
\log x = \frac{1018}{10} = 101.8
\]
Next, we can exponentiate both sides to solve for \( x \):
\[
x = 10^{101.8}
\]
Therefore, the value of \( x \) is \( 10^{101.8} \).
From the choices given, the response that matches this result is:
\[
10^{18}
\]
(Note: The response may not exactly match \( 10^{101.8} \) since it doesn't appear in the options, but it seems there's a misunderstanding in interpreting what '18' represents in this context. The closest and most appropriate interpretation of the options should ideally be re-evaluated.)
Since \( 10^{101.8} \) is not an option, please double-check or clarify the available options. The calculation itself leads to the answer of \( 10^{101.8} \).
\[
\log x = \frac{1018}{10} = 101.8
\]
Next, we can exponentiate both sides to solve for \( x \):
\[
x = 10^{101.8}
\]
Therefore, the value of \( x \) is \( 10^{101.8} \).
From the choices given, the response that matches this result is:
\[
10^{18}
\]
(Note: The response may not exactly match \( 10^{101.8} \) since it doesn't appear in the options, but it seems there's a misunderstanding in interpreting what '18' represents in this context. The closest and most appropriate interpretation of the options should ideally be re-evaluated.)
Since \( 10^{101.8} \) is not an option, please double-check or clarify the available options. The calculation itself leads to the answer of \( 10^{101.8} \).