Answer:
Step-by-step explanation:
The formulas used to solve :
[tex][ log_b(\frac{x}{y}) = log_bx - log_by][/tex]
[tex](p^2 - q^2) = (p+q)(p-q)[/tex]
[tex]log_b(p^2 - q^2) - log _b(p + q) = log_b(p-q)\\\\log_b(\frac{(p^2 -q^2)}{(p+q)}) = log_b(p-q)\\\\log_b(\frac{(p+q)(p-q)}{(p+q)}) = log_b(p-q)\\\\log_b(p-q) = log_b(p-q)\\\\[/tex]
Hence proved.
