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Simplifying ln(x) = ln(27) + ln(15) + ln(36) Multiply ln * x lnx = ln(27) + ln(15) + ln(36) Reorder the terms for easier multiplication: lnx = 27ln + ln(15) + ln(36) Reorder the terms for easier multiplication: lnx = 27ln + 15ln + ln(36) Reorder the terms for easier multiplication: lnx = 27ln + 15ln + 36ln Combine like terms: 27ln + 15ln = 42ln lnx = 42ln + 36ln Combine like terms: 42ln + 36ln = 78ln lnx = 78ln Solving lnx = 78ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-78ln' to each side of the equation. -78ln + lnx = 78ln + -78ln Combine like terms: 78ln + -78ln = 0 -78ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-78 + 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 '(-78 + x)' equal to zero and attempt to solve: Simplifying -78 + x = 0 Solving -78 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + x = 0 + 78 x = 0 + 78 Combine like terms: 0 + 78 = 78 x = 78 Add '-1x' to each side of the equation. x + -1x = 78 + -1x Combine like terms: x + -1x = 0 0 = 78 + -1x Simplifying 0 = 78 + -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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