Question

Express 45 = x as a logarithmic equation.

log45 = x
log4x = 5
log54 = x
log5x = 4

Answer 1

The expression is log 4 x = 5

Answer 2

Option 2nd is correct

`\log_4 x = 5`

Explanation:

Using logarithmic rules:

`\log_b b^x = x`

Given that:

`4^5 = x`

Taking log with base 4 to both side we have;

`\log_4 4^5 = \log_4 x`

Apply the logarithmic rules we have;

`5 = \log_4 x`

or

`\log_4 x = 5`

Therefore,
`4^5 = x` as a logarithmic equation is:
`\log_4 x = 5`