Question

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

Answer 1

Express y in terms of x.

Log (1+y) - Log (1-y) = Log x

Answer 2

Answer:
`y = (x-1)/(x+1)`

Explanation:

`log(1+y) - log(1-y) = log x \\log(1+y)/(1-y) =log x\\x = (1+y)/(1-y)\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=(x-1)/(x+1)`