f(x)=3x^3+ln(5x^2)

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Solution for f(x)=3x^3+ln(5x^2) equation:


Simplifying
f(x) = 3x3 + ln(5x2)

Multiply f * x
fx = 3x3 + ln(5x2)

Remove parenthesis around (5x2)
fx = 3x3 + ln * 5x2

Reorder the terms for easier multiplication:
fx = 3x3 + 5ln * x2

Multiply ln * x2
fx = 3x3 + 5lnx2

Reorder the terms:
fx = 5lnx2 + 3x3

Solving
fx = 5lnx2 + 3x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5lnx + 3x2

Simplifying
f = 5lnx + 3x2

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