SOLUTION: Solve log2(x-2)-log2(x+5)=3

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Question 954792: Solve log2(x-2)-log2(x+5)=3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%282%2C%28x-2%29%29-log%282%2C%28x%2B5%29%29=3
log%282%2C%28x-2%29%2F%28x%2B5%29%29=3....change to base 10
log%28%28x-2%29%2F%28x%2B5%29%29%2Flog%282%29=3
log%28%28x-2%29%2F%28x%2B5%29%29=3log%282%29
log%28%28x-2%29%2F%28x%2B5%29%29=log%282%5E3%29
log%28%28x-2%29%2F%28x%2B5%29%29=log%288%29.....if log same, then
%28x-2%29%2F%28x%2B5%29=8
%28x-2%29=8%28x%2B5%29
x-2=8x%2B40
-40-2=8x-x
-42=7x
-42%2F7=x
x=-6