4+ln(27x)=25-2ln(x)

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Solution for 4+ln(27x)=25-2ln(x) equation:


Simplifying
4 + ln(27x) = 25 + -2ln(x)

Remove parenthesis around (27x)
4 + ln * 27x = 25 + -2ln(x)

Reorder the terms for easier multiplication:
4 + 27ln * x = 25 + -2ln(x)

Multiply ln * x
4 + 27lnx = 25 + -2ln(x)

Multiply ln * x
4 + 27lnx = 25 + -2lnx

Solving
4 + 27lnx = 25 + -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.
4 + 27lnx + 2lnx = 25 + -2lnx + 2lnx

Combine like terms: 27lnx + 2lnx = 29lnx
4 + 29lnx = 25 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
4 + 29lnx = 25 + 0
4 + 29lnx = 25

Add '-4' to each side of the equation.
4 + -4 + 29lnx = 25 + -4

Combine like terms: 4 + -4 = 0
0 + 29lnx = 25 + -4
29lnx = 25 + -4

Combine like terms: 25 + -4 = 21
29lnx = 21

Divide each side by '29nx'.
l = 0.724137931n-1x-1

Simplifying
l = 0.724137931n-1x-1

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