SOLUTION: Solve y=log2(5x-4) y=3+log2(x-1)

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Question 173572: Solve y=log2(5x-4)
y=3+log2(x-1)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
y= log2(5x-4)
y= 3+log2(x-1)
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Substitute to get:
log2 (5x-4) = 3 + log2 (x-1)
log2 (5x-4) - log2 (x-1) = 3
log2 [(5x-4)/(x-1)] = 3

[(5x-4)/(x-1)] = 2^3
5x-4 = 8(x-1)
5x-4 = 8x - 8
3x = 4
x = 4/3
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Cheers,
Stan H.