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Simplifying ln(x3) + ln(5) = ln(1000) Multiply ln * x3 lnx3 + ln(5) = ln(1000) Reorder the terms for easier multiplication: lnx3 + 5ln = ln(1000) Reorder the terms: 5ln + lnx3 = ln(1000) Reorder the terms for easier multiplication: 5ln + lnx3 = 1000ln Solving 5ln + lnx3 = 1000ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1000ln' to each side of the equation. 5ln + -1000ln + lnx3 = 1000ln + -1000ln Combine like terms: 5ln + -1000ln = -995ln -995ln + lnx3 = 1000ln + -1000ln Combine like terms: 1000ln + -1000ln = 0 -995ln + lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-995 + x3) = 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 '(-995 + x3)' equal to zero and attempt to solve: Simplifying -995 + x3 = 0 Solving -995 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '995' to each side of the equation. -995 + 995 + x3 = 0 + 995 Combine like terms: -995 + 995 = 0 0 + x3 = 0 + 995 x3 = 0 + 995 Combine like terms: 0 + 995 = 995 x3 = 995 Add '-1x3' to each side of the equation. x3 + -1x3 = 995 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 995 + -1x3 Simplifying 0 = 995 + -1x3 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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