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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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3 years ago
The sum of 2 consecutive numbers is 37. Find the numbers. If x represents the smaller integer, then the larger integer is
NARA [144]

Answer:

x + 1

Step-by-step explanation:

There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.

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