f(x)=ln(sqrt(5x-4))

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Solution for f(x)=ln(sqrt(5x-4)) equation: 


Simplifying
f(x) = ln(sqrt(5x + -4))

Multiply f * x
fx = ln(sqrt(5x + -4))

Reorder the terms:
fx = ln(qrst(-4 + 5x))
fx = ln((-4 * qrst + 5x * qrst))
fx = ln((-4qrst + 5qrstx))
fx = (-4qrst * ln + 5qrstx * ln)
fx = (-4lnqrst + 5lnqrstx)

Solving
fx = -4lnqrst + 5lnqrstx

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -4lnqrstx-1 + 5lnqrst

Simplifying
f = -4lnqrstx-1 + 5lnqrst

Reorder the terms:
f = 5lnqrst + -4lnqrstx-1

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