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Simplifying 6[ln(x3 + -3)] + 7 = 19 Reorder the terms: 6[ln(-3 + x3)] + 7 = 19 6[(-3 * ln + x3 * ln)] + 7 = 19 6[(-3ln + lnx3)] + 7 = 19 [-3ln * 6 + lnx3 * 6] + 7 = 19 [-18ln + 6lnx3] + 7 = 19 Reorder the terms: 7 + -18ln + 6lnx3 = 19 Solving 7 + -18ln + 6lnx3 = 19 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -18ln + -7 + 6lnx3 = 19 + -7 Reorder the terms: 7 + -7 + -18ln + 6lnx3 = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -18ln + 6lnx3 = 19 + -7 -18ln + 6lnx3 = 19 + -7 Combine like terms: 19 + -7 = 12 -18ln + 6lnx3 = 12 Reorder the terms: -12 + -18ln + 6lnx3 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -18ln + 6lnx3 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -3ln + lnx3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -3ln + lnx3)' equal to zero and attempt to solve: Simplifying -2 + -3ln + lnx3 = 0 Solving -2 + -3ln + lnx3 = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + 2 + lnx3 = 0 + 2 Reorder the terms: -2 + 2 + -3ln + lnx3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + lnx3 = 0 + 2 -3ln + lnx3 = 0 + 2 Combine like terms: 0 + 2 = 2 -3ln + lnx3 = 2 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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