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Simplifying ln(4x + 2) = 100 Reorder the terms: ln(2 + 4x) = 100 (2 * ln + 4x * ln) = 100 (2ln + 4lnx) = 100 Solving 2ln + 4lnx = 100 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -100 + 2ln + 4lnx = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 2ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-50 + ln + 2lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -50 + ln + 2lnx = 0 Solving -50 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '50' to each side of the equation. -50 + ln + 50 + 2lnx = 0 + 50 Reorder the terms: -50 + 50 + ln + 2lnx = 0 + 50 Combine like terms: -50 + 50 = 0 0 + ln + 2lnx = 0 + 50 ln + 2lnx = 0 + 50 Combine like terms: 0 + 50 = 50 ln + 2lnx = 50 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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