f(x)=ln(sin(2x))

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Solution for f(x)=ln(sin(2x)) equation:


Simplifying
f(x) = ln(sin(2x))

Multiply f * x
fx = ln(sin(2x))

Remove parenthesis around (2x)
fx = ln(ins * 2x)

Reorder the terms for easier multiplication:
fx = ln(2ins * x)

Multiply ins * x
fx = ln(2insx)

Remove parenthesis around (2insx)
fx = ln * 2insx

Reorder the terms for easier multiplication:
fx = 2ln * insx

Multiply ln * insx
fx = 2iln2sx

Solving
fx = 2iln2sx

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 2iln2s

Simplifying
f = 2iln2s

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