Question

Which is equation is equivalent to logx36=2

Answer 1

The answer is x^2=36

Answer 2

Given the equation:
`\log_x 36 = 2`

Using the logarithmic rules;

`\log _b x = a` then

`x = b^a`

`\log_x 36 = 2`

Apply the logarithmic rules, we have;

`36 = x^2`

or

`x^2 = 36`

or

⇒
`x = 6`

Therefore, the equation which is equivalent to
`\log_x 36 = 2` is,
`x^2 = 36` or
`x = 6`