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Simplifying ln(-4x + -7) + -1ln10 = 5 Reorder the terms: ln(-7 + -4x) + -1ln10 = 5 (-7 * ln + -4x * ln) + -1ln10 = 5 (-7ln + -4lnx) + -1ln10 = 5 Solving -7ln + -4lnx + -1ln10 = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -5 + -7ln + -4lnx + -1ln10 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -7ln + -4lnx + -1ln10 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 7ln + 4lnx + ln10) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 7ln + 4lnx + ln10)' equal to zero and attempt to solve: Simplifying 5 + 7ln + 4lnx + ln10 = 0 Solving 5 + 7ln + 4lnx + ln10 = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 7ln + 4lnx + -5 + ln10 = 0 + -5 Reorder the terms: 5 + -5 + 7ln + 4lnx + ln10 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7ln + 4lnx + ln10 = 0 + -5 7ln + 4lnx + ln10 = 0 + -5 Combine like terms: 0 + -5 = -5 7ln + 4lnx + ln10 = -5 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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