Question

Which exponential equation correctly rewrites this logarithmic equation? log6 18=x

Answer 1

Given:

The logarithmic equation is:

$\log_618=x$

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

$\log_bm=x\Leftrightarrow m=b^x$

We have,

$\log_618=x$

Here, $b=6, m=18$. Using the above property of logarithm, we get

$18=6^x$

Therefore, the required exponential equation is $18=6^x$.