To solve the equation [tex]\(\log x = 4\)[/tex], we need to understand the properties of logarithms.
The given equation [tex]\(\log x = 4\)[/tex] is a logarithmic equation in base 10. Essentially, the question is asking: "10 raised to what power equals x?"
In logarithmic form, that is:
[tex]\[
\log_{10} x = 4
\][/tex]
To convert this logarithmic equation to its exponential form, we use the fact that:
[tex]\[
\log_{10} x = 4 \implies 10^4 = x
\][/tex]
Now, we calculate [tex]\(10^4\)[/tex]:
[tex]\[
10^4 = 10 \times 10 \times 10 \times 10 = 10000
\][/tex]
Therefore, the solution to [tex]\(\log x = 4\)[/tex] is:
[tex]\[
x = 10,000
\][/tex]
So, the correct option is:
[tex]\[
\text{10,000}
\][/tex]
