2ln(3x)-5=8

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Solution for 2ln(3x)-5=8 equation:


Simplifying
2ln(3x) + -5 = 8

Remove parenthesis around (3x)
2ln * 3x + -5 = 8

Reorder the terms for easier multiplication:
2 * 3ln * x + -5 = 8

Multiply 2 * 3
6ln * x + -5 = 8

Multiply ln * x
6lnx + -5 = 8

Reorder the terms:
-5 + 6lnx = 8

Solving
-5 + 6lnx = 8

Solving for variable 'l'.

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

Add '5' to each side of the equation.
-5 + 5 + 6lnx = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 6lnx = 8 + 5
6lnx = 8 + 5

Combine like terms: 8 + 5 = 13
6lnx = 13

Divide each side by '6nx'.
l = 2.166666667n-1x-1

Simplifying
l = 2.166666667n-1x-1

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