ln^2(x^2)-ln(x^10)=28solve

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Solution for ln^2(x^2)-ln(x^10)=28solve equation:


Simplifying
ln2(x2) + -1ln(x10) = 28solve

Multiply ln2 * x2
ln2x2 + -1ln(x10) = 28solve

Multiply ln * x10
ln2x2 + -1lnx10 = 28solve

Reorder the terms:
-1lnx10 + ln2x2 = 28solve

Solving
-1lnx10 + ln2x2 = 28elosv

Solving for variable 'l'.

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

Add '-28elosv' to each side of the equation.
-1lnx10 + -28elosv + ln2x2 = 28elosv + -28elosv

Reorder the terms:
-28elosv + -1lnx10 + ln2x2 = 28elosv + -28elosv

Combine like terms: 28elosv + -28elosv = 0
-28elosv + -1lnx10 + ln2x2 = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(-28eosv + -1nx10 + n2x2) = 0

Subproblem 1

Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0

Subproblem 2

Set the factor '(-28eosv + -1nx10 + n2x2)' equal to zero and attempt to solve: Simplifying -28eosv + -1nx10 + n2x2 = 0 Solving -28eosv + -1nx10 + n2x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '28eosv' to each side of the equation. -28eosv + -1nx10 + 28eosv + n2x2 = 0 + 28eosv Reorder the terms: -28eosv + 28eosv + -1nx10 + n2x2 = 0 + 28eosv Combine like terms: -28eosv + 28eosv = 0 0 + -1nx10 + n2x2 = 0 + 28eosv -1nx10 + n2x2 = 0 + 28eosv Remove the zero: -1nx10 + n2x2 = 28eosv Add 'nx10' to each side of the equation. -1nx10 + nx10 + n2x2 = 28eosv + nx10 Combine like terms: -1nx10 + nx10 = 0 0 + n2x2 = 28eosv + nx10 n2x2 = 28eosv + nx10 Add '-1n2x2' to each side of the equation. n2x2 + -1n2x2 = 28eosv + nx10 + -1n2x2 Combine like terms: n2x2 + -1n2x2 = 0 0 = 28eosv + nx10 + -1n2x2 Simplifying 0 = 28eosv + nx10 + -1n2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

l = {0}

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