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3 years ago

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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2 years ago

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Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

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And replacing the data given we got:

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Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

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$D =\frac{P}{\pi X^2}$

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3 years ago

What's the inverse of a 2x4 matrix?

balandron [24]

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<span>Generally, inverting matrices is done through finding the determinant of the square matrix and then performing an operation on the matrix based on the size of the matrix. </span>

<span>Wikipedia has a good article on Matrix inversion, take a look there for more information.</span>

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Step-by-step explanation:

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