9+ln(20x)=17-2ln(x)

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Solution for 9+ln(20x)=17-2ln(x) equation:


Simplifying
9 + ln(20x) = 17 + -2ln(x)

Remove parenthesis around (20x)
9 + ln * 20x = 17 + -2ln(x)

Reorder the terms for easier multiplication:
9 + 20ln * x = 17 + -2ln(x)

Multiply ln * x
9 + 20lnx = 17 + -2ln(x)

Multiply ln * x
9 + 20lnx = 17 + -2lnx

Solving
9 + 20lnx = 17 + -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.
9 + 20lnx + 2lnx = 17 + -2lnx + 2lnx

Combine like terms: 20lnx + 2lnx = 22lnx
9 + 22lnx = 17 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
9 + 22lnx = 17 + 0
9 + 22lnx = 17

Add '-9' to each side of the equation.
9 + -9 + 22lnx = 17 + -9

Combine like terms: 9 + -9 = 0
0 + 22lnx = 17 + -9
22lnx = 17 + -9

Combine like terms: 17 + -9 = 8
22lnx = 8

Divide each side by '22nx'.
l = 0.3636363636n-1x-1

Simplifying
l = 0.3636363636n-1x-1

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