Given:
The equation is:
[tex]12=5^x[/tex]
To find:
The logarithmic equation that is equivalent to the given exponential equation.
Solution:
According to the property of logarithm:
[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]
We have,
[tex]12=5^x[/tex]
Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get
[tex]\log_{5}12=x[/tex]
[tex]x=\log_{5}12[/tex]
Therefore, the correct option is C.
