5ln(3x)-2=15

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Solution for 5ln(3x)-2=15 equation:


Simplifying
5ln(3x) + -2 = 15

Remove parenthesis around (3x)
5ln * 3x + -2 = 15

Reorder the terms for easier multiplication:
5 * 3ln * x + -2 = 15

Multiply 5 * 3
15ln * x + -2 = 15

Multiply ln * x
15lnx + -2 = 15

Reorder the terms:
-2 + 15lnx = 15

Solving
-2 + 15lnx = 15

Solving for variable 'l'.

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

Add '2' to each side of the equation.
-2 + 2 + 15lnx = 15 + 2

Combine like terms: -2 + 2 = 0
0 + 15lnx = 15 + 2
15lnx = 15 + 2

Combine like terms: 15 + 2 = 17
15lnx = 17

Divide each side by '15nx'.
l = 1.133333333n-1x-1

Simplifying
l = 1.133333333n-1x-1

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