Answer :
[tex]\hbox{if } a^b=c \hbox{ then} \log_a c=b \\ \\ 3^2=x \\
\Downarrow \\
\log_3 x=2[/tex]
Answer:
[tex]\log_3x=2[/tex]
Step-by-step explanation:
The given equation is
[tex]3^2=x[/tex]
We need to express this equation as a logarithmic equation.
Taking log base 3 on both sides.
[tex]\log_33^2=\log_3x[/tex]
Using the property of logarithm, we get
[tex]2=\log_3x[/tex] [tex][\because \log_aa^b=b][/tex]
Interchange the sides.
[tex]\log_3x=2[/tex]
Hence, the required equation is [tex]\log_3x=2[/tex].
