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Simplifying ln(24) = ln(3) + ln(x) Reorder the terms for easier multiplication: 24ln = ln(3) + ln(x) Reorder the terms for easier multiplication: 24ln = 3ln + ln(x) Multiply ln * x 24ln = 3ln + lnx Solving 24ln = 3ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 24ln + -3ln = 3ln + -3ln + lnx Combine like terms: 24ln + -3ln = 21ln 21ln = 3ln + -3ln + lnx Combine like terms: 3ln + -3ln = 0 21ln = 0 + lnx 21ln = lnx Add '-1lnx' to each side of the equation. 21ln + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 21ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(21 + -1x) = 0Subproblem 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 '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Add 'x' to each side of the equation. -1x + x = -21 + x Combine like terms: -1x + x = 0 0 = -21 + x Simplifying 0 = -21 + x 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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