ln(4)+ln(4x^2)=4

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Solution for ln(4)+ln(4x^2)=4 equation:


Simplifying
ln(4) + ln(4x2) = 4

Reorder the terms for easier multiplication:
4ln + ln(4x2) = 4

Remove parenthesis around (4x2)
4ln + ln * 4x2 = 4

Reorder the terms for easier multiplication:
4ln + 4ln * x2 = 4

Multiply ln * x2
4ln + 4lnx2 = 4

Solving
4ln + 4lnx2 = 4

Solving for variable 'l'.

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

Reorder the terms:
-4 + 4ln + 4lnx2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 4ln + 4lnx2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + ln + lnx2) = 0

Ignore the factor 4.

Subproblem 1

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