f(x)=4x+9ln(4x)

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Solution for f(x)=4x+9ln(4x) equation:


Simplifying
f(x) = 4x + 9ln(4x)

Multiply f * x
fx = 4x + 9ln(4x)

Remove parenthesis around (4x)
fx = 4x + 9ln * 4x

Reorder the terms for easier multiplication:
fx = 4x + 9 * 4ln * x

Multiply 9 * 4
fx = 4x + 36ln * x

Multiply ln * x
fx = 4x + 36lnx

Reorder the terms:
fx = 36lnx + 4x

Solving
fx = 36lnx + 4x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 36ln + 4

Simplifying
f = 36ln + 4

Reorder the terms:
f = 4 + 36ln

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