Question

Given `log_3(5x^2+x−y)=1` then `y=ax^n+x+b`, what is `a`, `b`, `n`?

Answer 1

`a=5`
`n=2`
`b=-3`

Explanation:

Using the rule of logs, `log_a(a)=1`, we know that `5x^2+x-y=3`

`y=5x^2+x-3`

`a=5`
`n=2`
`b=-3`

Answer 2

See explanatio.

Explanation:

`log_3(5x^2+x-y)=1`

`log_3(5x^2+x-y)=log_3 3`

`5x^2+x-y=3`

`y=5x^2+x-3`

So we can write that:

`a=5,b=-3, n=2`