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Simplifying (3x) + ln(x) = ln(12) + -2 Multiply ln * x (3x) + lnx = ln(12) + -2 Reorder the terms: lnx + (3x) = ln(12) + -2 Reorder the terms for easier multiplication: lnx + (3x) = 12ln + -2 Reorder the terms: lnx + (3x) = -2 + 12ln Solving lnx + (3x) = -2 + 12ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12ln' to each side of the equation. lnx + -12ln + (3x) = -2 + 12ln + -12ln Reorder the terms: -12ln + lnx + (3x) = -2 + 12ln + -12ln Combine like terms: 12ln + -12ln = 0 -12ln + lnx + (3x) = -2 + 0 -12ln + lnx + (3x) = -2 Add '(-3x)' to each side of the equation. -12ln + lnx + (3x) + (-3x) = -2 + (-3x) Combine like terms: (3x) + (-3x) = 0 -12ln + lnx + 0 = -2 + (-3x) -12ln + lnx = -2 + (-3x) Reorder the terms: 2 + -12ln + lnx + (3x) = -2 + (-3x) + 2 + (3x) Reorder the terms: 2 + -12ln + lnx + (3x) = -2 + 2 + (-3x) + (3x) Combine like terms: -2 + 2 = 0 2 + -12ln + lnx + (3x) = 0 + (-3x) + (3x) 2 + -12ln + lnx + (3x) = (-3x) + (3x) Combine like terms: (-3x) + (3x) = 0 2 + -12ln + lnx + (3x) = 0 The solution to this equation could not be determined.
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