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Simplifying Ln(3) + ln(x) = ln(15) Reorder the terms for easier multiplication: 3nL + ln(x) = ln(15) Multiply ln * x 3nL + lnx = ln(15) Reorder the terms: lnx + 3nL = ln(15) Reorder the terms for easier multiplication: lnx + 3nL = 15ln Solving lnx + 3nL = 15ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. lnx + -15ln + 3nL = 15ln + -15ln Reorder the terms: -15ln + lnx + 3nL = 15ln + -15ln Combine like terms: 15ln + -15ln = 0 -15ln + lnx + 3nL = 0 Add '-3nL' to each side of the equation. -15ln + lnx + 3nL + -3nL = 0 + -3nL Combine like terms: 3nL + -3nL = 0 -15ln + lnx + 0 = 0 + -3nL -15ln + lnx = 0 + -3nL Remove the zero: -15ln + lnx = -3nL Combine like terms: -3nL + 3nL = 0 -15ln + lnx + 3nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-15l + lx + 3L) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-15l + lx + 3L)' equal to zero and attempt to solve: Simplifying -15l + lx + 3L = 0 Reorder the terms: 3L + -15l + lx = 0 Solving 3L + -15l + lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -15l + -3L + lx = 0 + -3L Reorder the terms: 3L + -3L + -15l + lx = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -15l + lx = 0 + -3L -15l + lx = 0 + -3L Remove the zero: -15l + lx = -3L 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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