ln*(2*x-5)+ln*(x-5)=ln*25

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Solution for ln*(2*x-5)+ln*(x-5)=ln*25 equation: 


Simplifying
ln(2x + -5) + ln(x + -5) = ln * 25

Reorder the terms:
ln(-5 + 2x) + ln(x + -5) = ln * 25
(-5 * ln + 2x * ln) + ln(x + -5) = ln * 25
(-5ln + 2lnx) + ln(x + -5) = ln * 25

Reorder the terms:
-5ln + 2lnx + ln(-5 + x) = ln * 25
-5ln + 2lnx + (-5 * ln + x * ln) = ln * 25
-5ln + 2lnx + (-5ln + lnx) = ln * 25

Reorder the terms:
-5ln + -5ln + 2lnx + lnx = ln * 25

Combine like terms: -5ln + -5ln = -10ln
-10ln + 2lnx + lnx = ln * 25

Combine like terms: 2lnx + lnx = 3lnx
-10ln + 3lnx = ln * 25

Reorder the terms for easier multiplication:
-10ln + 3lnx = 25ln

Solving
-10ln + 3lnx = 25ln

Solving for variable 'l'.

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

Add '-25ln' to each side of the equation.
-10ln + -25ln + 3lnx = 25ln + -25ln

Combine like terms: -10ln + -25ln = -35ln
-35ln + 3lnx = 25ln + -25ln

Combine like terms: 25ln + -25ln = 0
-35ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-35 + 3x) = 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 '(-35 + 3x)' equal to zero and attempt to solve:

Simplifying
-35 + 3x = 0

Solving
-35 + 3x = 0

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

Add '35' to each side of the equation.
-35 + 35 + 3x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 3x = 0 + 35
3x = 0 + 35

Combine like terms: 0 + 35 = 35
3x = 35

Add '-3x' to each side of the equation.
3x + -3x = 35 + -3x

Combine like terms: 3x + -3x = 0
0 = 35 + -3x

Simplifying
0 = 35 + -3x

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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