Answer:
x = 10
Step-by-step explanation:
We'll use this rule: log a - log b = log (a/b).
Thus,
log(5 + x) – log(x – 5) = log 3 becomes log [ (5 + x) / (x - 5) ] = log 3.
We can strike out all three "log" operators, obtaining:
5 + x
-------- = 3
x - 5
Multiplying both sides by x - 5 yields x + 5 = 3(x - 5), or
x + 5 = 3x - 15, which simplifies to
20 = 2x. Thus, x = 10
