Question

Express 53 = x as a logarithmic equation.

Answer 1

log5x=3 I think is the answer

Answer 2

`\log_5 x = 3`

Explanation:

Using logarithmic rule:

`\log_b b^a = a`

Given the equation:

`5^3 = x`

Taking log with base 5 both sides we have;

`\log_5 5^3 = \log_5 x`

Apply the logarithmic rule:

`3 = \log_5 x`

or

`\log_5 x = 3`

Therefore,
`5^3 = x` as a logarithmic equation is,
`\log_5 x = 3`