Ln(2x+3)-lnx=9

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Solution for Ln(2x+3)-lnx=9 equation: 


Simplifying
Ln(2x + 3) + -1lnx = 9

Reorder the terms:
nL(3 + 2x) + -1lnx = 9
(3 * nL + 2x * nL) + -1lnx = 9
(3nL + 2nxL) + -1lnx = 9

Reorder the terms:
-1lnx + 3nL + 2nxL = 9

Solving
-1lnx + 3nL + 2nxL = 9

Solving for variable 'l'.

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

Add '-3nL' to each side of the equation.
-1lnx + 3nL + -3nL + 2nxL = 9 + -3nL

Combine like terms: 3nL + -3nL = 0
-1lnx + 0 + 2nxL = 9 + -3nL
-1lnx + 2nxL = 9 + -3nL

Add '-2nxL' to each side of the equation.
-1lnx + 2nxL + -2nxL = 9 + -3nL + -2nxL

Combine like terms: 2nxL + -2nxL = 0
-1lnx + 0 = 9 + -3nL + -2nxL
-1lnx = 9 + -3nL + -2nxL

Divide each side by '-1nx'.
l = -9n-1x-1 + 3x-1L + 2L

Simplifying
l = -9n-1x-1 + 3x-1L + 2L

Reorder the terms:
l = 2L + -9n-1x-1 + 3x-1L

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