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Simplifying 2300 = 280ln(x + 1) + 1925 Reorder the terms: 2300 = 280ln(1 + x) + 1925 2300 = (1 * 280ln + x * 280ln) + 1925 2300 = (280ln + 280lnx) + 1925 Reorder the terms: 2300 = 1925 + 280ln + 280lnx Solving 2300 = 1925 + 280ln + 280lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-280ln' to each side of the equation. 2300 + -280ln = 1925 + 280ln + -280ln + 280lnx Combine like terms: 280ln + -280ln = 0 2300 + -280ln = 1925 + 0 + 280lnx 2300 + -280ln = 1925 + 280lnx Add '-280lnx' to each side of the equation. 2300 + -280ln + -280lnx = 1925 + 280lnx + -280lnx Combine like terms: 280lnx + -280lnx = 0 2300 + -280ln + -280lnx = 1925 + 0 2300 + -280ln + -280lnx = 1925 Add '-2300' to each side of the equation. 2300 + -280ln + -2300 + -280lnx = 1925 + -2300 Reorder the terms: 2300 + -2300 + -280ln + -280lnx = 1925 + -2300 Combine like terms: 2300 + -2300 = 0 0 + -280ln + -280lnx = 1925 + -2300 -280ln + -280lnx = 1925 + -2300 Combine like terms: 1925 + -2300 = -375 -280ln + -280lnx = -375 Reorder the terms: 375 + -280ln + -280lnx = -375 + 375 Combine like terms: -375 + 375 = 0 375 + -280ln + -280lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(75 + -56ln + -56lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(75 + -56ln + -56lnx)' equal to zero and attempt to solve: Simplifying 75 + -56ln + -56lnx = 0 Solving 75 + -56ln + -56lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -56ln + -75 + -56lnx = 0 + -75 Reorder the terms: 75 + -75 + -56ln + -56lnx = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -56ln + -56lnx = 0 + -75 -56ln + -56lnx = 0 + -75 Combine like terms: 0 + -75 = -75 -56ln + -56lnx = -75 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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