Write log (x^2-9) - log (x+3) as a single logarithm.

Question

Mathematics

Yasmin Kelly

7 July, 17:37

Write log (x^2-9) - log (x+3) as a single logarithm.

+3

Answers (1)

Know the Answer?

Lisa Buck · Answer 1

One way: log (A) - log (B) = log (A/B) right?

So, log (x^2-9 / (x+3))

Now x^2-9 = (x+3) * (x-3), and x^2-9 / (x+3) = x-3,

so log (x^2-9) - log (x+3) = log (x-3),

Indeed for all x but for x = - 3, but probably no one asks you about that detail?