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.