Question

Which logarithmic equation is equivalent to this exponential equation? 12=5^x

Answer 1

Given:

The equation is:

$12=5^x$

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

$a=b^x\Leftrightarrow \log_b a=x$

We have,

$12=5^x$

Here, $a=12,b=5$. By using the above property of logarithm, we get

$\log_{5}12=x$

$x=\log_{5}12$

Therefore, the correct option is C.