f(x)=ln(sqrt(x^2+5))

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Solution for f(x)=ln(sqrt(x^2+5)) equation:


Simplifying
f(x) = ln(sqrt(x2 + 5))

Multiply f * x
fx = ln(sqrt(x2 + 5))

Reorder the terms:
fx = ln(qrst(5 + x2))
fx = ln((5 * qrst + x2 * qrst))
fx = ln((5qrst + qrstx2))
fx = (5qrst * ln + qrstx2 * ln)
fx = (5lnqrst + lnqrstx2)

Solving
fx = 5lnqrst + 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 = 5lnqrstx-1 + lnqrstx

Simplifying
f = 5lnqrstx-1 + lnqrstx

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