Respuesta :

If :[tex] 3^{4}= x [/tex] 
a logarithmic equation is:[tex] log_{3}x = 4 [/tex]
Answer: c ) 

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]