Question
If 10^logx=10^18
, what is the value of x?(1 point)
Responses
−18
negative 18
10^18
10 superscript 18 baseline
18
18
10^−18
, what is the value of x?(1 point)
Responses
−18
negative 18
10^18
10 superscript 18 baseline
18
18
10^−18
Answers
GPT-4o mini
To solve the equation \( 10^{\log x} = 10^{18} \), we can simplify by removing the base of the exponential (which is 10) from both sides of the equation.
This gives us:
\[
\log x = 18
\]
Now, to find the value of \( x \), we can use the property of logarithms which states that if \( \log x = a \), then \( x = 10^a \). Applying this here:
\[
x = 10^{18}
\]
Therefore, the value of \( x \) is:
\[
\boxed{10^{18}}
\]
This gives us:
\[
\log x = 18
\]
Now, to find the value of \( x \), we can use the property of logarithms which states that if \( \log x = a \), then \( x = 10^a \). Applying this here:
\[
x = 10^{18}
\]
Therefore, the value of \( x \) is:
\[
\boxed{10^{18}}
\]