ln*20+ln*5=2*ln*x

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Solution for ln*20+ln*5=2*ln*x equation: 


Simplifying
ln * 20 + ln * 5 = 2ln * x

Reorder the terms for easier multiplication:
20ln + ln * 5 = 2ln * x

Reorder the terms for easier multiplication:
20ln + 5ln = 2ln * x

Combine like terms: 20ln + 5ln = 25ln
25ln = 2ln * x

Multiply ln * x
25ln = 2lnx

Solving
25ln = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
25ln + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
25ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(25 + -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 '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Add '2x' to each side of the equation.
-2x + 2x = -25 + 2x

Combine like terms: -2x + 2x = 0
0 = -25 + 2x

Simplifying
0 = -25 + 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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