8+ln(25x)=17-2ln(x)

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Solution for 8+ln(25x)=17-2ln(x) equation:


Simplifying
8 + ln(25x) = 17 + -2ln(x)

Remove parenthesis around (25x)
8 + ln * 25x = 17 + -2ln(x)

Reorder the terms for easier multiplication:
8 + 25ln * x = 17 + -2ln(x)

Multiply ln * x
8 + 25lnx = 17 + -2ln(x)

Multiply ln * x
8 + 25lnx = 17 + -2lnx

Solving
8 + 25lnx = 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.
8 + 25lnx + 2lnx = 17 + -2lnx + 2lnx

Combine like terms: 25lnx + 2lnx = 27lnx
8 + 27lnx = 17 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
8 + 27lnx = 17 + 0
8 + 27lnx = 17

Add '-8' to each side of the equation.
8 + -8 + 27lnx = 17 + -8

Combine like terms: 8 + -8 = 0
0 + 27lnx = 17 + -8
27lnx = 17 + -8

Combine like terms: 17 + -8 = 9
27lnx = 9

Divide each side by '27nx'.
l = 0.3333333333n-1x-1

Simplifying
l = 0.3333333333n-1x-1

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