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5ln(4x-6)=-6

 Mar 6, 2017
 #1
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Solve for x:
5 log(4 x - 6) = -6

Divide both sides by 5:
log(4 x - 6) = -6/5

Cancel logarithms by taking exp of both sides:
4 x - 6 = e^(-6/5)

Add 6 to both sides:
4 x = 6 + e^(-6/5)

Divide both sides by 4:
Answer: |x = 3/2 + 1/(4 e^(6/5)) = 1.57529855.......

 Mar 6, 2017

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