logo (x - 2) + logo (x + 3) = 1
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Step-by-step explanation:
Put all the logs on one side of the equation:
log(x−2)+log(x+3(=0
log((x+2)x3)=0
log(x2+2x3)=0
Now, convert to exponential form. You are in base 10, since nothing is noted in subscript by the log.
x2+2x3=100x2+2x3=1x2+2x=3x2+2x−3=0
(x+3)(x−1)=0
x=−3and1
It is always vital to check your solutions after solving logarithmic equations. Neither solutions work, because the log of a negative number is undefined in the real number system. Therefore, this equation has no solution
(∅).
Hopefully this helps!
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