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Simplifying ln(x) + ln(x + 4) = ln(45) Multiply ln * x lnx + ln(x + 4) = ln(45) Reorder the terms: lnx + ln(4 + x) = ln(45) lnx + (4 * ln + x * ln) = ln(45) lnx + (4ln + lnx) = ln(45) Reorder the terms: 4ln + lnx + lnx = ln(45) Combine like terms: lnx + lnx = 2lnx 4ln + 2lnx = ln(45) Reorder the terms for easier multiplication: 4ln + 2lnx = 45ln Solving 4ln + 2lnx = 45ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-45ln' to each side of the equation. 4ln + -45ln + 2lnx = 45ln + -45ln Combine like terms: 4ln + -45ln = -41ln -41ln + 2lnx = 45ln + -45ln Combine like terms: 45ln + -45ln = 0 -41ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-41 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying -41 + 2x = 0 Solving -41 + 2x = 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 + 2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = 0 + 41 2x = 0 + 41 Combine like terms: 0 + 41 = 41 2x = 41 Add '-2x' to each side of the equation. 2x + -2x = 41 + -2x Combine like terms: 2x + -2x = 0 0 = 41 + -2x Simplifying 0 = 41 + -2x 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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