Question

Choose the logarithmic form

6^2=36

Answer 1

`log_(6)` 36 = 2

Explanation:

using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

given

6² = 36

with x = 36 , b = 6 and n = 2 , then

`log_(6)` 36 = 2

is the logarithmic form of 6² = 36

Answer 2

logarithmic form of
`\sf 6^2=36` is
`\sf \log_(6)(36)=2`

Explanation:

The general form for converting an exponential equation to logarithmic form is:

`\boxed{ \sf b^y=x \Longrightarrow \log_(b)(x)=y}`

In this case, we have 6^2=36, so

b=6,

y=2, and

x=36.

Substituting these values into the general form, we get:

`\sf \log_(6)(36)=2`

Therefore, the logarithmic form of
`\sf 6^2=36`is
`\sf \log_(6)(36)=2`