ln(8*x)-9*x+3.1=0

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Solution for ln(8*x)-9*x+3.1=0 equation: 


Simplifying
ln(8x) + -9x + 3.1 = 0

Remove parenthesis around (8x)
ln * 8x + -9x + 3.1 = 0

Reorder the terms for easier multiplication:
8ln * x + -9x + 3.1 = 0

Multiply ln * x
8lnx + -9x + 3.1 = 0

Reorder the terms:
3.1 + 8lnx + -9x = 0

Solving
3.1 + 8lnx + -9x = 0

Solving for variable 'l'.

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

Add '-3.1' to each side of the equation.
3.1 + 8lnx + -3.1 + -9x = 0 + -3.1

Reorder the terms:
3.1 + -3.1 + 8lnx + -9x = 0 + -3.1

Combine like terms: 3.1 + -3.1 = 0.0
0.0 + 8lnx + -9x = 0 + -3.1
8lnx + -9x = 0 + -3.1

Combine like terms: 0 + -3.1 = -3.1
8lnx + -9x = -3.1

Add '9x' to each side of the equation.
8lnx + -9x + 9x = -3.1 + 9x

Combine like terms: -9x + 9x = 0
8lnx + 0 = -3.1 + 9x
8lnx = -3.1 + 9x

Divide each side by '8nx'.
l = -0.3875n-1x-1 + 1.125n-1

Simplifying
l = -0.3875n-1x-1 + 1.125n-1

Reorder the terms:
l = 1.125n-1 + -0.3875n-1x-1

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