Given:
The logarithmic equation is:
[tex]\log_618=x[/tex]
To find:
The exponential equation of this logarithmic equation.
Solution:
According to the properties of logarithm:
[tex]\log_bm=x\Leftrightarrow m=b^x[/tex]
We have,
[tex]\log_618=x[/tex]
Here, [tex]b=6, m=18[/tex]. Using the above property of logarithm, we get
[tex]18=6^x[/tex]
Therefore, the required exponential equation is [tex]18=6^x[/tex].
