Question

Express 34 = x as a logarithmic equation.

Answers:
a) log34 = x
b) log43 = x
c) log3x = 4
d) log4x = 3

Answer 1

Option c -
`\log_3 x=4`

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`

Answer 2

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