ln(x^2+7.5)+ln*2=ln*4

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Solution for ln(x^2+7.5)+ln*2=ln*4 equation:


Simplifying
ln(x2 + 7.5) + ln * 2 = ln * 4

Reorder the terms:
ln(7.5 + x2) + ln * 2 = ln * 4
(7.5 * ln + x2 * ln) + ln * 2 = ln * 4
(7.5ln + lnx2) + ln * 2 = ln * 4

Reorder the terms for easier multiplication:
7.5ln + lnx2 + 2ln = ln * 4

Reorder the terms:
7.5ln + 2ln + lnx2 = ln * 4

Combine like terms: 7.5ln + 2ln = 9.5ln
9.5ln + lnx2 = ln * 4

Reorder the terms for easier multiplication:
9.5ln + lnx2 = 4ln

Solving
9.5ln + lnx2 = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
9.5ln + -4ln + lnx2 = 4ln + -4ln

Combine like terms: 9.5ln + -4ln = 5.5ln
5.5ln + lnx2 = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
5.5ln + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5.5 + x2) = 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 '(5.5 + x2)' equal to zero and attempt to solve: Simplifying 5.5 + x2 = 0 Solving 5.5 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x2 = 0 + -5.5 x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 x2 = -5.5 Add '-1x2' to each side of the equation. x2 + -1x2 = -5.5 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -5.5 + -1x2 Simplifying 0 = -5.5 + -1x2 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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