6-ln(27x)=27-2ln(x)

Solution for 6-ln(27x)=27-2ln(x) equation:

Simplifying
6 + -1ln(27x) = 27 + -2ln(x)

Remove parenthesis around (27x)
6 + -1ln * 27x = 27 + -2ln(x)

Reorder the terms for easier multiplication:
6 + -1 * 27ln * x = 27 + -2ln(x)

Multiply -1 * 27
6 + -27ln * x = 27 + -2ln(x)

Multiply ln * x
6 + -27lnx = 27 + -2ln(x)

Multiply ln * x
6 + -27lnx = 27 + -2lnx

Solving
6 + -27lnx = 27 + -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.
6 + -27lnx + 2lnx = 27 + -2lnx + 2lnx

Combine like terms: -27lnx + 2lnx = -25lnx
6 + -25lnx = 27 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
6 + -25lnx = 27 + 0
6 + -25lnx = 27

Add '-6' to each side of the equation.
6 + -6 + -25lnx = 27 + -6

Combine like terms: 6 + -6 = 0
0 + -25lnx = 27 + -6
-25lnx = 27 + -6

Combine like terms: 27 + -6 = 21
-25lnx = 21

Divide each side by '-25nx'.
l = -0.84n-1x-1

Simplifying
l = -0.84n-1x-1