f(x)=ln(sqrt(x^2-1))

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Solution for f(x)=ln(sqrt(x^2-1)) equation: 


Simplifying
f(x) = ln(sqrt(x2 + -1))

Multiply f * x
fx = ln(sqrt(x2 + -1))

Reorder the terms:
fx = ln(qrst(-1 + x2))
fx = ln((-1 * qrst + x2 * qrst))
fx = ln((-1qrst + qrstx2))
fx = (-1qrst * ln + qrstx2 * ln)
fx = (-1lnqrst + lnqrstx2)

Solving
fx = -1lnqrst + lnqrstx2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -1lnqrstx-1 + lnqrstx

Simplifying
f = -1lnqrstx-1 + lnqrstx

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