Ln(x+3)+ln(x+4)-ln(x)=15

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Solution for Ln(x+3)+ln(x+4)-ln(x)=15 equation: 


Simplifying
Ln(x + 3) + ln(x + 4) + -1ln(x) = 15

Reorder the terms:
nL(3 + x) + ln(x + 4) + -1ln(x) = 15
(3 * nL + x * nL) + ln(x + 4) + -1ln(x) = 15
(3nL + nxL) + ln(x + 4) + -1ln(x) = 15

Reorder the terms:
3nL + nxL + ln(4 + x) + -1ln(x) = 15
3nL + nxL + (4 * ln + x * ln) + -1ln(x) = 15
3nL + nxL + (4ln + lnx) + -1ln(x) = 15

Multiply ln * x
3nL + nxL + 4ln + lnx + -1lnx = 15

Reorder the terms:
4ln + lnx + -1lnx + 3nL + nxL = 15

Combine like terms: lnx + -1lnx = 0
4ln + 0 + 3nL + nxL = 15
4ln + 3nL + nxL = 15

Solving
4ln + 3nL + nxL = 15

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.
4ln + 3nL + -3nL + nxL = 15 + -3nL

Combine like terms: 3nL + -3nL = 0
4ln + 0 + nxL = 15 + -3nL
4ln + nxL = 15 + -3nL

Add '-1nxL' to each side of the equation.
4ln + nxL + -1nxL = 15 + -3nL + -1nxL

Combine like terms: nxL + -1nxL = 0
4ln + 0 = 15 + -3nL + -1nxL
4ln = 15 + -3nL + -1nxL

Divide each side by '4n'.
l = 3.75n-1 + -0.75L + -0.25xL

Simplifying
l = 3.75n-1 + -0.75L + -0.25xL

Reorder the terms:
l = -0.75L + 3.75n-1 + -0.25xL

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