ln^2y^2-2ln(y^5)=11y

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Solution for ln^2y^2-2ln(y^5)=11y equation:


Simplifying
ln2y2 + -2ln(y5) = 11y

Multiply ln * y5
ln2y2 + -2lny5 = 11y

Reorder the terms:
-2lny5 + ln2y2 = 11y

Solving
-2lny5 + ln2y2 = 11y

Solving for variable 'l'.

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

Combine like terms: 11y + -11y = 0
-2lny5 + ln2y2 + -11y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-2lny4 + ln2y + -11) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing l to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-2lny4 + ln2y + -11)' equal to zero and attempt to solve: Simplifying -2lny4 + ln2y + -11 = 0 Reorder the terms: -11 + -2lny4 + ln2y = 0 Solving -11 + -2lny4 + ln2y = 0 Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -2lny4 + 11 + ln2y = 0 + 11 Reorder the terms: -11 + 11 + -2lny4 + ln2y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2lny4 + ln2y = 0 + 11 -2lny4 + ln2y = 0 + 11 Combine like terms: 0 + 11 = 11 -2lny4 + ln2y = 11 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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