ln(2x)+cos(2x)-3=0

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Solution for ln(2x)+cos(2x)-3=0 equation:


Simplifying
ln(2x) + cos(2x) + -3 = 0

Remove parenthesis around (2x)
ln * 2x + cos(2x) + -3 = 0

Reorder the terms for easier multiplication:
2ln * x + cos(2x) + -3 = 0

Multiply ln * x
2lnx + cos(2x) + -3 = 0

Remove parenthesis around (2x)
2lnx + cos * 2x + -3 = 0

Reorder the terms for easier multiplication:
2lnx + 2cos * x + -3 = 0

Multiply cos * x
2lnx + 2cosx + -3 = 0

Reorder the terms:
-3 + 2cosx + 2lnx = 0

Solving
-3 + 2cosx + 2lnx = 0

Solving for variable 'c'.

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

Add '3' to each side of the equation.
-3 + 2cosx + 3 + 2lnx = 0 + 3

Reorder the terms:
-3 + 3 + 2cosx + 2lnx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2cosx + 2lnx = 0 + 3
2cosx + 2lnx = 0 + 3

Combine like terms: 0 + 3 = 3
2cosx + 2lnx = 3

Add '-2lnx' to each side of the equation.
2cosx + 2lnx + -2lnx = 3 + -2lnx

Combine like terms: 2lnx + -2lnx = 0
2cosx + 0 = 3 + -2lnx
2cosx = 3 + -2lnx

Divide each side by '2osx'.
c = 1.5o-1s-1x-1 + -1lno-1s-1

Simplifying
c = 1.5o-1s-1x-1 + -1lno-1s-1

Reorder the terms:
c = -1lno-1s-1 + 1.5o-1s-1x-1

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