ln(x^2-17)=ln(X-5)

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Solution for ln(x^2-17)=ln(X-5) equation: 


Simplifying
ln(x2 + -17) = ln(X + -5)

Reorder the terms:
ln(-17 + x2) = ln(X + -5)
(-17 * ln + x2 * ln) = ln(X + -5)
(-17ln + lnx2) = ln(X + -5)

Reorder the terms:
-17ln + lnx2 = ln(-5 + X)
-17ln + lnx2 = (-5 * ln + X * ln)
-17ln + lnx2 = (-5ln + lnX)

Solving
-17ln + lnx2 = -5ln + lnX

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
-17ln + 5ln + lnx2 = -5ln + 5ln + lnX

Combine like terms: -17ln + 5ln = -12ln
-12ln + lnx2 = -5ln + 5ln + lnX

Combine like terms: -5ln + 5ln = 0
-12ln + lnx2 = 0 + lnX
-12ln + lnx2 = lnX

Add '-1lnX' to each side of the equation.
-12ln + -1lnX + lnx2 = lnX + -1lnX

Combine like terms: lnX + -1lnX = 0
-12ln + -1lnX + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-12 + -1X + x2) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

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 '(-12 + -1X + x2)' equal to zero and attempt to solve:

Simplifying
-12 + -1X + x2 = 0

Solving
-12 + -1X + x2 = 0

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

Add '12' to each side of the equation.
-12 + -1X + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -1X + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1X + x2 = 0 + 12
-1X + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-1X + x2 = 12

Add 'X' to each side of the equation.
-1X + X + x2 = 12 + X

Combine like terms: -1X + X = 0
0 + x2 = 12 + X
x2 = 12 + X

Add '-1x2' to each side of the equation.
x2 + -1x2 = 12 + X + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 12 + X + -1x2

Simplifying
0 = 12 + X + -1x2

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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