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Simplifying ln(4x) + ln(3) = ln(56) Remove parenthesis around (4x) ln * 4x + ln(3) = ln(56) Reorder the terms for easier multiplication: 4ln * x + ln(3) = ln(56) Multiply ln * x 4lnx + ln(3) = ln(56) Reorder the terms for easier multiplication: 4lnx + 3ln = ln(56) Reorder the terms: 3ln + 4lnx = ln(56) Reorder the terms for easier multiplication: 3ln + 4lnx = 56ln Solving 3ln + 4lnx = 56ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-56ln' to each side of the equation. 3ln + -56ln + 4lnx = 56ln + -56ln Combine like terms: 3ln + -56ln = -53ln -53ln + 4lnx = 56ln + -56ln Combine like terms: 56ln + -56ln = 0 -53ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-53 + 4x) = 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 '(-53 + 4x)' equal to zero and attempt to solve: Simplifying -53 + 4x = 0 Solving -53 + 4x = 0 Move all terms containing l to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 4x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 4x = 0 + 53 4x = 0 + 53 Combine like terms: 0 + 53 = 53 4x = 53 Add '-4x' to each side of the equation. 4x + -4x = 53 + -4x Combine like terms: 4x + -4x = 0 0 = 53 + -4x Simplifying 0 = 53 + -4x 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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