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Simplifying ln(3x2) = ln(x3) Remove parenthesis around (3x2) ln * 3x2 = ln(x3) Reorder the terms for easier multiplication: 3ln * x2 = ln(x3) Multiply ln * x2 3lnx2 = ln(x3) Multiply ln * x3 3lnx2 = lnx3 Solving 3lnx2 = lnx3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx3' to each side of the equation. 3lnx2 + -1lnx3 = lnx3 + -1lnx3 Combine like terms: lnx3 + -1lnx3 = 0 3lnx2 + -1lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'lnx2'. lnx2(3 + -1x) = 0Subproblem 1
Set the factor 'lnx2' equal to zero and attempt to solve: Simplifying lnx2 = 0 Solving lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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