f(x)=3ln(8x+4ln(x))

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Solution for f(x)=3ln(8x+4ln(x)) equation: 


Simplifying
f(x) = 3ln(8x + 4ln(x))

Multiply f * x
fx = 3ln(8x + 4ln(x))

Multiply ln * x
fx = 3ln(8x + 4lnx)

Reorder the terms:
fx = 3ln(4lnx + 8x)
fx = (4lnx * 3ln + 8x * 3ln)

Reorder the terms:
fx = (24lnx + 12l2n2x)
fx = (24lnx + 12l2n2x)

Solving
fx = 24lnx + 12l2n2x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 24ln + 12l2n2

Simplifying
f = 24ln + 12l2n2

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