Verified Answer :

If :\(3^{4}= x\) 
a logarithmic equation is:\(log_{3}x = 4\)
Answer: c ) 

Answer:

Option c - \(\log_3 x=4\)      

Step-by-step explanation:

Given : Expression \(3^4=x\)

To express : The given expression as a logarithmic equation

Solution :

The given expression :

\(3^4=x\)

Taking log both side,

The base is 3

\(\Rightarrow \log_3 3^4=\log_3 x\)

By property, \(\log_33=1\)

\(\Rightarrow 4=\log_3 x\)

Therefore, Option c is correct.

\(3^4=x\) as a logarithmic form is \(\log_3 x=4\)