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Asked by Kasey

Solve the equation and check your solutions. Note any extraneous answers.

log(3x-13)=2 - log x

9 years ago

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Answered by Steve
assuming base 10,

log(3x-13) = log100 - logx
log(3x-13) = log(100/x)
3x-13 = 100/x
3x^2 - 13x - 100 = 0
(3x-25)(x+4) = 0
x = 25/3, since x = -4 is not allowed.
9 years ago
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Solve the equation and check your solutions. Note any extraneous answers.

log(3x-13)=2 - log x

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