6+ln(8x)=27-2ln(x)

Solution for 6+ln(8x)=27-2ln(x) equation:

Simplifying
6 + ln(8x) = 27 + -2ln(x)

Remove parenthesis around (8x)
6 + ln * 8x = 27 + -2ln(x)

Reorder the terms for easier multiplication:
6 + 8ln * x = 27 + -2ln(x)

Multiply ln * x
6 + 8lnx = 27 + -2ln(x)

Multiply ln * x
6 + 8lnx = 27 + -2lnx

Solving
6 + 8lnx = 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 + 8lnx + 2lnx = 27 + -2lnx + 2lnx

Combine like terms: 8lnx + 2lnx = 10lnx
6 + 10lnx = 27 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
6 + 10lnx = 27 + 0
6 + 10lnx = 27

Add '-6' to each side of the equation.
6 + -6 + 10lnx = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 10lnx = 27 + -6
10lnx = 27 + -6

Combine like terms: 27 + -6 = 21
10lnx = 21

Divide each side by '10nx'.
l = 2.1n-1x-1

Simplifying
l = 2.1n-1x-1