SOLUTION: solve log(x+20)-log(x+2)=logx
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Question 615686: solve log(x+20)-log(x+2)=logx
Found 2 solutions by math33, MathTherapy:
Answer by math33(31) (Show Source): You can put this solution on YOUR website!
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
solve log(x+20)-log(x+2)=logx
log (x + 20) - log (x + 2) = log x
log = log
x(x + 2) = x + 20 ----- Cross-multiplying
(x + 5)(x - 4) = 0
x + 5 = 0 or x - 4 = 0
x = - 5 (EXTRANEOUS) or x =
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Check
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log (x + 20) - log (x + 2) = log x
log (4 + 20) - log (4 + 2) = log 4 ------ Substituting 4 for x in original equation
log (24) - log (6) = log 4
log = log
log (4) = log 4 (TRUE)
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