Question

How do you condense `2ln (2x+4) - Ln x - Ln 4 - Ln (x² + 4x + 4)`?

Answer 1

`- ln x`

Explanation:

Use `n ln m = ln (m^n) and ln (1/m) = - ln m.`.

The expression = `ln (((2(x+2))^2)/((x)(4)(x+2)^2))`.

Assume `x > 0)` and cancel common factors.

Now, it reduces to `ln(1/x)=-ln x`