solving log base 10 problems?

I have a hard time solving the following problems, could someone help out please?

1. log10(x+6) - log10(x-3) = 1

2. log10(x-1) - log10(x+1) = 1

Anonymous2010-05-06T11:21:49Z

Favorite Answer

1. glad I double check - SORRY

log (x+6)/(x-3) = 1
raise to 10th

(x+6)/(x-3) = 10^1 = 10
x+6 = 10x -30
9x = 36
x=4
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2.
almost same math
x-1 = 10(x+1)
x-1 = 10x +10
9x = -11
x = -11/9