Ln(x^2+10x+25)-ln(x+5)=3

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Solution for Ln(x^2+10x+25)-ln(x+5)=3 equation: 


Simplifying
Ln(x2 + 10x + 25) + -1ln(x + 5) = 3

Reorder the terms:
nL(25 + 10x + x2) + -1ln(x + 5) = 3
(25 * nL + 10x * nL + x2 * nL) + -1ln(x + 5) = 3
(25nL + 10nxL + nx2L) + -1ln(x + 5) = 3

Reorder the terms:
25nL + 10nxL + nx2L + -1ln(5 + x) = 3
25nL + 10nxL + nx2L + (5 * -1ln + x * -1ln) = 3
25nL + 10nxL + nx2L + (-5ln + -1lnx) = 3

Reorder the terms:
-5ln + -1lnx + 25nL + 10nxL + nx2L = 3

Solving
-5ln + -1lnx + 25nL + 10nxL + nx2L = 3

Solving for variable 'l'.

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

Add '-25nL' to each side of the equation.
-5ln + -1lnx + 25nL + 10nxL + -25nL + nx2L = 3 + -25nL

Reorder the terms:
-5ln + -1lnx + 25nL + -25nL + 10nxL + nx2L = 3 + -25nL

Combine like terms: 25nL + -25nL = 0
-5ln + -1lnx + 0 + 10nxL + nx2L = 3 + -25nL
-5ln + -1lnx + 10nxL + nx2L = 3 + -25nL

Add '-10nxL' to each side of the equation.
-5ln + -1lnx + 10nxL + -10nxL + nx2L = 3 + -25nL + -10nxL

Combine like terms: 10nxL + -10nxL = 0
-5ln + -1lnx + 0 + nx2L = 3 + -25nL + -10nxL
-5ln + -1lnx + nx2L = 3 + -25nL + -10nxL

Add '-1nx2L' to each side of the equation.
-5ln + -1lnx + nx2L + -1nx2L = 3 + -25nL + -10nxL + -1nx2L

Combine like terms: nx2L + -1nx2L = 0
-5ln + -1lnx + 0 = 3 + -25nL + -10nxL + -1nx2L
-5ln + -1lnx = 3 + -25nL + -10nxL + -1nx2L

Reorder the terms:
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = 3 + -25nL + -10nxL + -1nx2L + -3 + 25nL + 10nxL + nx2L

Reorder the terms:
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = 3 + -3 + -25nL + 25nL + -10nxL + 10nxL + -1nx2L + nx2L

Combine like terms: 3 + -3 = 0
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = 0 + -25nL + 25nL + -10nxL + 10nxL + -1nx2L + nx2L
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = -25nL + 25nL + -10nxL + 10nxL + -1nx2L + nx2L

Combine like terms: -25nL + 25nL = 0
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = 0 + -10nxL + 10nxL + -1nx2L + nx2L
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = -10nxL + 10nxL + -1nx2L + nx2L

Combine like terms: -10nxL + 10nxL = 0
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = 0 + -1nx2L + nx2L
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = -1nx2L + nx2L

Combine like terms: -1nx2L + nx2L = 0
-3 + -5ln + -1lnx + 25nL + 10nxL + nx2L = 0

The solution to this equation could not be determined.

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