SOLUTION: log 3exponent,2x+log 3exponent (2x-1 ) +1equals 0

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Question 763438: log 3exponent,2x+log 3exponent (2x-1 ) +1equals 0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log 3exponent,2x+log 3exponent (2x-1 ) +1equals 0
log%283%5E%282x%29%29%2Blog%283%5E%282x-1%29%29%2B1=0
log%28%283%5E%282x%29%2A3%5E%282x-1%29%29%29=-1
log%283%5E%28%284x-1%29%29%29=-1
convert to exponential form
3%5E%284x-1%29=10%5E-1
take log of both sides
(4x-1)log3=-1log10=-1
4x-1=-1/log3=-1/0.4771=-2.0960
4x=-1.0960
x=-0.2740
This ans checks out ok. Try it yourself for a good exercise in algebra.