12.0k views
3 votes
Prove that: log b (p2 - q2) – log b (p + q) = log b (p – q)

User DuMaurier
by
8.4k points

1 Answer

3 votes

Answer:

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.

User Ana
by
8.2k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories