Ln(41x)-ln(8)=3

Solution for Ln(41x)-ln(8)=3 equation:

Simplifying
Ln(41x) + -1ln(8) = 3

Remove parenthesis around (41x)
nL * 41x + -1ln(8) = 3

Reorder the terms for easier multiplication:
41nL * x + -1ln(8) = 3

Multiply nL * x
41nxL + -1ln(8) = 3

Reorder the terms for easier multiplication:
41nxL + -1 * 8ln = 3

Multiply -1 * 8
41nxL + -8ln = 3

Reorder the terms:
-8ln + 41nxL = 3

Solving
-8ln + 41nxL = 3

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-41nxL' to each side of the equation.
-8ln + 41nxL + -41nxL = 3 + -41nxL

Combine like terms: 41nxL + -41nxL = 0
-8ln + 0 = 3 + -41nxL
-8ln = 3 + -41nxL

Divide each side by '-8n'.
l = -0.375n-1 + 5.125xL

Simplifying
l = -0.375n-1 + 5.125xL