Given:
The expression is:
[tex]\log_5(36)-\log_5(9)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_5(36)-\log_5(9)[/tex]
It can be written as:
[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex] [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]
[tex]\log_5(36)-\log_5(9)=\log_54[/tex]
Therefore, the simplified form of the given expression is [tex]\log_54[/tex].
