Ln(8x)+2lnx=18

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Solution for Ln(8x)+2lnx=18 equation:


Simplifying
Ln(8x) + 2lnx = 18

Remove parenthesis around (8x)
nL * 8x + 2lnx = 18

Reorder the terms for easier multiplication:
8nL * x + 2lnx = 18

Multiply nL * x
8nxL + 2lnx = 18

Reorder the terms:
2lnx + 8nxL = 18

Solving
2lnx + 8nxL = 18

Solving for variable 'l'.

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

Add '-8nxL' to each side of the equation.
2lnx + 8nxL + -8nxL = 18 + -8nxL

Combine like terms: 8nxL + -8nxL = 0
2lnx + 0 = 18 + -8nxL
2lnx = 18 + -8nxL

Divide each side by '2nx'.
l = 9n-1x-1 + -4L

Simplifying
l = 9n-1x-1 + -4L

Reorder the terms:
l = -4L + 9n-1x-1

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