f(x)=sinx*ln(5x)

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Solution for f(x)=sinx*ln(5x) equation: 


Simplifying
f(x) = sinx * ln(5x)

Multiply f * x
fx = sinx * ln(5x)

Remove parenthesis around (5x)
fx = insx * ln * 5x

Reorder the terms for easier multiplication:
fx = 5insx * ln * x

Multiply insx * ln
fx = 5iln2sx * x

Multiply iln2sx * x
fx = 5iln2sx2

Solving
fx = 5iln2sx2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5iln2sx

Simplifying
f = 5iln2sx

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