Question

Prove that: log b (p2 - q2) – log b (p + q) = log b (p – q)

Answer 1

Explanation:

The formulas used to solve :

`[ log_b((x)/(y)) = log_bx - log_by]`

`(p^2 - q^2) = (p+q)(p-q)`

`log_b(p^2 - q^2) - log _b(p + q) = log_b(p-q)\\\\log_b(((p^2 -q^2))/((p+q))) = log_b(p-q)\\\\log_b(((p+q)(p-q))/((p+q))) = log_b(p-q)\\\\log_b(p-q) = log_b(p-q)\\\\`

Hence proved.