8+ln(21x)=13-2ln(x)

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Solution for 8+ln(21x)=13-2ln(x) equation:


Simplifying
8 + ln(21x) = 13 + -2ln(x)

Remove parenthesis around (21x)
8 + ln * 21x = 13 + -2ln(x)

Reorder the terms for easier multiplication:
8 + 21ln * x = 13 + -2ln(x)

Multiply ln * x
8 + 21lnx = 13 + -2ln(x)

Multiply ln * x
8 + 21lnx = 13 + -2lnx

Solving
8 + 21lnx = 13 + -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 + 21lnx + 2lnx = 13 + -2lnx + 2lnx

Combine like terms: 21lnx + 2lnx = 23lnx
8 + 23lnx = 13 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
8 + 23lnx = 13 + 0
8 + 23lnx = 13

Add '-8' to each side of the equation.
8 + -8 + 23lnx = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 23lnx = 13 + -8
23lnx = 13 + -8

Combine like terms: 13 + -8 = 5
23lnx = 5

Divide each side by '23nx'.
l = 0.2173913043n-1x-1

Simplifying
l = 0.2173913043n-1x-1

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