7+ln(27x)=28-2ln(x)

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Solution for 7+ln(27x)=28-2ln(x) equation:


Simplifying
7 + ln(27x) = 28 + -2ln(x)

Remove parenthesis around (27x)
7 + ln * 27x = 28 + -2ln(x)

Reorder the terms for easier multiplication:
7 + 27ln * x = 28 + -2ln(x)

Multiply ln * x
7 + 27lnx = 28 + -2ln(x)

Multiply ln * x
7 + 27lnx = 28 + -2lnx

Solving
7 + 27lnx = 28 + -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.
7 + 27lnx + 2lnx = 28 + -2lnx + 2lnx

Combine like terms: 27lnx + 2lnx = 29lnx
7 + 29lnx = 28 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
7 + 29lnx = 28 + 0
7 + 29lnx = 28

Add '-7' to each side of the equation.
7 + -7 + 29lnx = 28 + -7

Combine like terms: 7 + -7 = 0
0 + 29lnx = 28 + -7
29lnx = 28 + -7

Combine like terms: 28 + -7 = 21
29lnx = 21

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

Simplifying
l = 0.724137931n-1x-1

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