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Simplifying ln(4) + ln(6x) = ln(48) Reorder the terms for easier multiplication: 4ln + ln(6x) = ln(48) Remove parenthesis around (6x) 4ln + ln * 6x = ln(48) Reorder the terms for easier multiplication: 4ln + 6ln * x = ln(48) Multiply ln * x 4ln + 6lnx = ln(48) Reorder the terms for easier multiplication: 4ln + 6lnx = 48ln Solving 4ln + 6lnx = 48ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-48ln' to each side of the equation. 4ln + -48ln + 6lnx = 48ln + -48ln Combine like terms: 4ln + -48ln = -44ln -44ln + 6lnx = 48ln + -48ln Combine like terms: 48ln + -48ln = 0 -44ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-22 + 3x) = 0 Ignore the factor 2.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 '(-22 + 3x)' equal to zero and attempt to solve: Simplifying -22 + 3x = 0 Solving -22 + 3x = 0 Move all terms containing l to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 0 + 22 3x = 0 + 22 Combine like terms: 0 + 22 = 22 3x = 22 Add '-3x' to each side of the equation. 3x + -3x = 22 + -3x Combine like terms: 3x + -3x = 0 0 = 22 + -3x Simplifying 0 = 22 + -3x 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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