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Simplifying 4ln(2) + ln(x + -1) = ln(48) Reorder the terms for easier multiplication: 4 * 2ln + ln(x + -1) = ln(48) Multiply 4 * 2 8ln + ln(x + -1) = ln(48) Reorder the terms: 8ln + ln(-1 + x) = ln(48) 8ln + (-1 * ln + x * ln) = ln(48) 8ln + (-1ln + lnx) = ln(48) Combine like terms: 8ln + -1ln = 7ln 7ln + lnx = ln(48) Reorder the terms for easier multiplication: 7ln + lnx = 48ln Solving 7ln + lnx = 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. 7ln + -48ln + lnx = 48ln + -48ln Combine like terms: 7ln + -48ln = -41ln -41ln + lnx = 48ln + -48ln Combine like terms: 48ln + -48ln = 0 -41ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-41 + x) = 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 '(-41 + x)' equal to zero and attempt to solve: Simplifying -41 + x = 0 Solving -41 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + x = 0 + 41 x = 0 + 41 Combine like terms: 0 + 41 = 41 x = 41 Add '-1x' to each side of the equation. x + -1x = 41 + -1x Combine like terms: x + -1x = 0 0 = 41 + -1x Simplifying 0 = 41 + -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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