To solve the problem we must know about the change of base rule for Logarithm.
What is the change of base rule for Logarithm?
The change of base rule for Logarithm helps us to change the base of any logarithmic expression to any other logarithmic expression.
[tex]log_ab = \dfrac{log_x b}{log_x a}[/tex]
where x is any base.
The expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].
Given to us
Change of base rule
[tex]log_{12}81\\[/tex]
use the change of base rule, [tex]log_ab = \dfrac{log\ b}{log\ a}[/tex],
[tex]log_{12}81=\dfrac{log\ 81}{log\ 12}[/tex]
Hence, the expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].
Learn more about Logarithm:
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