ln*(x+5)+ln*x=ln*14

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Solution for ln*(x+5)+ln*x=ln*14 equation: 


Simplifying
ln(x + 5) + ln * x = ln * 14

Reorder the terms:
ln(5 + x) + ln * x = ln * 14
(5 * ln + x * ln) + ln * x = ln * 14
(5ln + lnx) + ln * x = ln * 14

Multiply ln * x
5ln + lnx + lnx = ln * 14

Combine like terms: lnx + lnx = 2lnx
5ln + 2lnx = ln * 14

Reorder the terms for easier multiplication:
5ln + 2lnx = 14ln

Solving
5ln + 2lnx = 14ln

Solving for variable 'l'.

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

Add '-14ln' to each side of the equation.
5ln + -14ln + 2lnx = 14ln + -14ln

Combine like terms: 5ln + -14ln = -9ln
-9ln + 2lnx = 14ln + -14ln

Combine like terms: 14ln + -14ln = 0
-9ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-9 + 2x) = 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 '(-9 + 2x)' equal to zero and attempt to solve:

Simplifying
-9 + 2x = 0

Solving
-9 + 2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Add '-2x' to each side of the equation.
2x + -2x = 9 + -2x

Combine like terms: 2x + -2x = 0
0 = 9 + -2x

Simplifying
0 = 9 + -2x

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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