ln(10-2x^2)=2

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


Simplifying
ln(10 + -2x2) = 2
(10 * ln + -2x2 * ln) = 2
(10ln + -2lnx2) = 2

Solving
10ln + -2lnx2 = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + 10ln + -2lnx2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 10ln + -2lnx2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 5ln + -1lnx2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 5ln + -1lnx2)' equal to zero and attempt to solve: Simplifying -1 + 5ln + -1lnx2 = 0 Solving -1 + 5ln + -1lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5ln + 1 + -1lnx2 = 0 + 1 Reorder the terms: -1 + 1 + 5ln + -1lnx2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5ln + -1lnx2 = 0 + 1 5ln + -1lnx2 = 0 + 1 Combine like terms: 0 + 1 = 1 5ln + -1lnx2 = 1 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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