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charle [14.2K]
3 years ago
14

Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x

Mathematics
2 answers:
Bond [772]3 years ago
7 0
Express y in terms of x.

Log (1+y) - Log (1-y) = Log x
GaryK [48]3 years ago
6 0

Answer: y = \frac{x-1}{x+1}

Step-by-step explanation:

log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}

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