Ln(x+9)-ln(x)=3

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


Simplifying
Ln(x + 9) + -1ln(x) = 3

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

Multiply ln * x
9nL + nxL + -1lnx = 3

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

Solving
-1lnx + 9nL + nxL = 3

Solving for variable 'l'.

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

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

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

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

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

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

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

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

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