ln(X+5)-2=ln(7-x)+3

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Solution for ln(X+5)-2=ln(7-x)+3 equation:


Simplifying
ln(X + 5) + -2 = ln(7 + -1x) + 3

Reorder the terms:
ln(5 + X) + -2 = ln(7 + -1x) + 3
(5 * ln + X * ln) + -2 = ln(7 + -1x) + 3
(5ln + lnX) + -2 = ln(7 + -1x) + 3

Reorder the terms:
-2 + 5ln + lnX = ln(7 + -1x) + 3
-2 + 5ln + lnX = (7 * ln + -1x * ln) + 3
-2 + 5ln + lnX = (7ln + -1lnx) + 3

Reorder the terms:
-2 + 5ln + lnX = 3 + 7ln + -1lnx

Solving
-2 + 5ln + lnX = 3 + 7ln + -1lnx

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
-2 + 5ln + -7ln + lnX = 3 + 7ln + -7ln + -1lnx

Combine like terms: 5ln + -7ln = -2ln
-2 + -2ln + lnX = 3 + 7ln + -7ln + -1lnx

Combine like terms: 7ln + -7ln = 0
-2 + -2ln + lnX = 3 + 0 + -1lnx
-2 + -2ln + lnX = 3 + -1lnx

Add 'lnx' to each side of the equation.
-2 + -2ln + lnX + lnx = 3 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-2 + -2ln + lnX + lnx = 3 + 0
-2 + -2ln + lnX + lnx = 3

Add '2' to each side of the equation.
-2 + -2ln + lnX + 2 + lnx = 3 + 2

Reorder the terms:
-2 + 2 + -2ln + lnX + lnx = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -2ln + lnX + lnx = 3 + 2
-2ln + lnX + lnx = 3 + 2

Combine like terms: 3 + 2 = 5
-2ln + lnX + lnx = 5

Reorder the terms:
-5 + -2ln + lnX + lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -2ln + lnX + lnx = 0

The solution to this equation could not be determined.

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