SOLUTION: Solve Log(x+2)+Log(x-1)=Log(70)

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Question 773143: Solve

Log(x+2)+Log(x-1)=Log(70)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2B2%29%2Blog%28x-1%29=log%2870%29..write left side as single log

log%28%28x%2B2%29%28x-1%29%29=log%2870%29.....if log same, then
%28x%2B2%29%28x-1%29=70 is same too; now, solve for x
x%5E2-x%2B2x-2=70
x%5E2%2Bx-2-70=0
x%5E2%2Bx-72=0 ...write x as 9x-8x
x%5E2%2B9x-8x-72=+0..group
%28x%5E2%2B9x%29-%288x%2B72%29=+0...factor
x%28x%2B9%29-8%28x%2B9%29=+0
%28x-8%29%28x%2B9%29=+0
solutions:
if %28x-8%29=+0=> x=8
if %28x%2B9%29=+0=> x=-9
so, we need DISABLED_event_only= > x=8.....your answer