4ln(2x)+3=12

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Solution for 4ln(2x)+3=12 equation:


Simplifying
4ln(2x) + 3 = 12

Remove parenthesis around (2x)
4ln * 2x + 3 = 12

Reorder the terms for easier multiplication:
4 * 2ln * x + 3 = 12

Multiply 4 * 2
8ln * x + 3 = 12

Multiply ln * x
8lnx + 3 = 12

Reorder the terms:
3 + 8lnx = 12

Solving
3 + 8lnx = 12

Solving for variable 'l'.

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

Add '-3' to each side of the equation.
3 + -3 + 8lnx = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 8lnx = 12 + -3
8lnx = 12 + -3

Combine like terms: 12 + -3 = 9
8lnx = 9

Divide each side by '8nx'.
l = 1.125n-1x-1

Simplifying
l = 1.125n-1x-1

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