8+ln(8x)=26-2ln(x)

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Solution for 8+ln(8x)=26-2ln(x) equation:


Simplifying
8 + ln(8x) = 26 + -2ln(x)

Remove parenthesis around (8x)
8 + ln * 8x = 26 + -2ln(x)

Reorder the terms for easier multiplication:
8 + 8ln * x = 26 + -2ln(x)

Multiply ln * x
8 + 8lnx = 26 + -2ln(x)

Multiply ln * x
8 + 8lnx = 26 + -2lnx

Solving
8 + 8lnx = 26 + -2lnx

Solving for variable 'l'.

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

Add '2lnx' to each side of the equation.
8 + 8lnx + 2lnx = 26 + -2lnx + 2lnx

Combine like terms: 8lnx + 2lnx = 10lnx
8 + 10lnx = 26 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
8 + 10lnx = 26 + 0
8 + 10lnx = 26

Add '-8' to each side of the equation.
8 + -8 + 10lnx = 26 + -8

Combine like terms: 8 + -8 = 0
0 + 10lnx = 26 + -8
10lnx = 26 + -8

Combine like terms: 26 + -8 = 18
10lnx = 18

Divide each side by '10nx'.
l = 1.8n-1x-1

Simplifying
l = 1.8n-1x-1

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