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Simplifying ln(6x + 3) = 2 * 9 Reorder the terms: ln(3 + 6x) = 2 * 9 (3 * ln + 6x * ln) = 2 * 9 (3ln + 6lnx) = 2 * 9 Multiply 2 * 9 3ln + 6lnx = 18 Solving 3ln + 6lnx = 18 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -18 + 3ln + 6lnx = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 3ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -6 + ln + 2lnx = 0 Solving -6 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + ln + 6 + 2lnx = 0 + 6 Reorder the terms: -6 + 6 + ln + 2lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + ln + 2lnx = 0 + 6 ln + 2lnx = 0 + 6 Combine like terms: 0 + 6 = 6 ln + 2lnx = 6 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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