3ln(x+8)=ln(3x)+12.18

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Solution for 3ln(x+8)=ln(3x)+12.18 equation: 


Simplifying
3ln(x + 8) = ln(3x) + 12.18

Reorder the terms:
3ln(8 + x) = ln(3x) + 12.18
(8 * 3ln + x * 3ln) = ln(3x) + 12.18
(24ln + 3lnx) = ln(3x) + 12.18

Remove parenthesis around (3x)
24ln + 3lnx = ln * 3x + 12.18

Reorder the terms for easier multiplication:
24ln + 3lnx = 3ln * x + 12.18

Multiply ln * x
24ln + 3lnx = 3lnx + 12.18

Reorder the terms:
24ln + 3lnx = 12.18 + 3lnx

Add '-3lnx' to each side of the equation.
24ln + 3lnx + -3lnx = 12.18 + 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
24ln + 0 = 12.18 + 3lnx + -3lnx
24ln = 12.18 + 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
24ln = 12.18 + 0
24ln = 12.18

Solving
24ln = 12.18

Solving for variable 'l'.

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

Divide each side by '24n'.
l = 0.5075n-1

Simplifying
l = 0.5075n-1

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