SOLUTION: Solve for x log(x+5)=log4-log(x-2)

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Question 1160388: Solve for x
log(x+5)=log4-log(x-2)
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
log(x+5)=log4-log(x-2)

log%28%28x%2B5%29%29=log%28%284%29%29-log%28%28x-2%29%29
log%28%28x%2B5%29%29%2Blog%28%28x-2%29%29=log%28%284%29%29
log%28%28%28x%2B5%29%28x-2%29%29%29=log%28%284%29%29

%28x%2B5%29%28x-2%29=4

x%5E2%2B3x-10=4

x%5E2%2B3x-14=0

discriminant, 3%5E2%2B4%2A14=9%2B56=65

Check which of these may work: x=%28-3%2B-+sqrt%2865%29%29%2F2
(It should only be the PLUS form.)