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Simplifying 3xln(8) = ln(360) Reorder the terms for easier multiplication: 3 * 8lnx = ln(360) Multiply 3 * 8 24lnx = ln(360) Reorder the terms for easier multiplication: 24lnx = 360ln Solving 24lnx = 360ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-360ln' to each side of the equation. -360ln + 24lnx = 360ln + -360ln Combine like terms: 360ln + -360ln = 0 -360ln + 24lnx = 0 Factor out the Greatest Common Factor (GCF), '24ln'. 24ln(-15 + x) = 0 Ignore the factor 24.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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Add '-1x' to each side of the equation. x + -1x = 15 + -1x Combine like terms: x + -1x = 0 0 = 15 + -1x Simplifying 0 = 15 + -1x 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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