SOLUTION: 60. solve the equation algabraically log.4 x-log.4(x-1)=1/2

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Question 151193: 60. solve the equation algabraically log.4 x-log.4(x-1)=1/2
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
log.4 x-log.4(x-1)=1/2
log.4(x/(x-1)) = 1/2
log(x/(x-1))/log(4) = 1/2
log(x/(x-1))/0.602 = 1/2
log(x/(x-1)) = 0.301
x/(x-1) = 10^(0.0301)
x/(x-1) = 2
x = 2x -2
x = 2

Try that out in the original equation, using base transformation
log(2)/log(4) - log(1)/log(4) = 1/2