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Simplifying ln(x) = ln(192) Multiply ln * x lnx = ln(192) Reorder the terms for easier multiplication: lnx = 192ln Solving lnx = 192ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-192ln' to each side of the equation. -192ln + lnx = 192ln + -192ln Combine like terms: 192ln + -192ln = 0 -192ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-192 + 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 '(-192 + x)' equal to zero and attempt to solve: Simplifying -192 + x = 0 Solving -192 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + x = 0 + 192 Combine like terms: -192 + 192 = 0 0 + x = 0 + 192 x = 0 + 192 Combine like terms: 0 + 192 = 192 x = 192 Add '-1x' to each side of the equation. x + -1x = 192 + -1x Combine like terms: x + -1x = 0 0 = 192 + -1x Simplifying 0 = 192 + -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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