Answer:
Option c - [tex]\log_3 x=4[/tex]
Step-by-step explanation:
Given : Expression [tex]3^4=x[/tex]
To express : The given expression as a logarithmic equation
Solution :
The given expression :
[tex]3^4=x[/tex]
Taking log both side,
The base is 3
[tex]\Rightarrow \log_3 3^4=\log_3 x[/tex]
By property, [tex]\log_33=1[/tex]
[tex]\Rightarrow 4=\log_3 x[/tex]
Therefore, Option c is correct.
[tex]3^4=x[/tex] as a logarithmic form is [tex]\log_3 x=4[/tex]