Ln(x+17)-ln(x+3)=ln(2)

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Solution for Ln(x+17)-ln(x+3)=ln(2) equation: 


Simplifying
Ln(x + 17) + -1ln(x + 3) = ln(2)

Reorder the terms:
nL(17 + x) + -1ln(x + 3) = ln(2)
(17 * nL + x * nL) + -1ln(x + 3) = ln(2)
(17nL + nxL) + -1ln(x + 3) = ln(2)

Reorder the terms:
17nL + nxL + -1ln(3 + x) = ln(2)
17nL + nxL + (3 * -1ln + x * -1ln) = ln(2)
17nL + nxL + (-3ln + -1lnx) = ln(2)

Reorder the terms:
-3ln + -1lnx + 17nL + nxL = ln(2)

Reorder the terms for easier multiplication:
-3ln + -1lnx + 17nL + nxL = 2ln

Solving
-3ln + -1lnx + 17nL + nxL = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
-3ln + -1lnx + 17nL + -2ln + nxL = 2ln + -2ln

Reorder the terms:
-3ln + -2ln + -1lnx + 17nL + nxL = 2ln + -2ln

Combine like terms: -3ln + -2ln = -5ln
-5ln + -1lnx + 17nL + nxL = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-5ln + -1lnx + 17nL + nxL = 0

Add '-17nL' to each side of the equation.
-5ln + -1lnx + 17nL + -17nL + nxL = 0 + -17nL

Combine like terms: 17nL + -17nL = 0
-5ln + -1lnx + 0 + nxL = 0 + -17nL
-5ln + -1lnx + nxL = 0 + -17nL
Remove the zero:
-5ln + -1lnx + nxL = -17nL

Add '-1nxL' to each side of the equation.
-5ln + -1lnx + nxL + -1nxL = -17nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-5ln + -1lnx + 0 = -17nL + -1nxL
-5ln + -1lnx = -17nL + -1nxL

Reorder the terms:
-5ln + -1lnx + 17nL + nxL = -17nL + 17nL + -1nxL + nxL

Combine like terms: -17nL + 17nL = 0
-5ln + -1lnx + 17nL + nxL = 0 + -1nxL + nxL
-5ln + -1lnx + 17nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-5ln + -1lnx + 17nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5l + -1lx + 17L + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-5l + -1lx + 17L + xL)' equal to zero and attempt to solve:

Simplifying
-5l + -1lx + 17L + xL = 0

Reorder the terms:
17L + -5l + -1lx + xL = 0

Solving
17L + -5l + -1lx + xL = 0

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

Add '-17L' to each side of the equation.
17L + -5l + -1lx + -17L + xL = 0 + -17L

Reorder the terms:
17L + -17L + -5l + -1lx + xL = 0 + -17L

Combine like terms: 17L + -17L = 0
0 + -5l + -1lx + xL = 0 + -17L
-5l + -1lx + xL = 0 + -17L
Remove the zero:
-5l + -1lx + xL = -17L

Add '-1xL' to each side of the equation.
-5l + -1lx + xL + -1xL = -17L + -1xL

Combine like terms: xL + -1xL = 0
-5l + -1lx + 0 = -17L + -1xL
-5l + -1lx = -17L + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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