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Simplifying Ln(9x) = ln(14) + ln(x + -7) Remove parenthesis around (9x) nL * 9x = ln(14) + ln(x + -7) Reorder the terms for easier multiplication: 9nL * x = ln(14) + ln(x + -7) Multiply nL * x 9nxL = ln(14) + ln(x + -7) Reorder the terms for easier multiplication: 9nxL = 14ln + ln(x + -7) Reorder the terms: 9nxL = 14ln + ln(-7 + x) 9nxL = 14ln + (-7 * ln + x * ln) 9nxL = 14ln + (-7ln + lnx) Combine like terms: 14ln + -7ln = 7ln 9nxL = 7ln + lnx Solving 9nxL = 7ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7ln' to each side of the equation. -7ln + 9nxL = 7ln + -7ln + lnx Combine like terms: 7ln + -7ln = 0 -7ln + 9nxL = 0 + lnx -7ln + 9nxL = lnx Add '-1lnx' to each side of the equation. -7ln + -1lnx + 9nxL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -7ln + -1lnx + 9nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-7l + -1lx + 9xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-7l + -1lx + 9xL)' equal to zero and attempt to solve: Simplifying -7l + -1lx + 9xL = 0 Solving -7l + -1lx + 9xL = 0 Move all terms containing n to the left, all other terms to the right. Add '7l' to each side of the equation. -7l + -1lx + 7l + 9xL = 0 + 7l Reorder the terms: -7l + 7l + -1lx + 9xL = 0 + 7l Combine like terms: -7l + 7l = 0 0 + -1lx + 9xL = 0 + 7l -1lx + 9xL = 0 + 7l Remove the zero: -1lx + 9xL = 7l Add 'lx' to each side of the equation. -1lx + lx + 9xL = 7l + lx Combine like terms: -1lx + lx = 0 0 + 9xL = 7l + lx 9xL = 7l + lx Add '-9xL' to each side of the equation. 9xL + -9xL = 7l + lx + -9xL Combine like terms: 9xL + -9xL = 0 0 = 7l + lx + -9xL Simplifying 0 = 7l + lx + -9xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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