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Simplifying ln(x + 1) = ln(1.3) Reorder the terms: ln(1 + x) = ln(1.3) (1 * ln + x * ln) = ln(1.3) (1ln + lnx) = ln(1.3) Reorder the terms for easier multiplication: 1ln + lnx = 1.3ln Solving 1ln + lnx = 1.3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1.3ln' to each side of the equation. 1ln + -1.3ln + lnx = 1.3ln + -1.3ln Combine like terms: 1ln + -1.3ln = -0.3ln -0.3ln + lnx = 1.3ln + -1.3ln Combine like terms: 1.3ln + -1.3ln = 0.0 -0.3ln + lnx = 0.0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-0.3 + x) = 0.0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(-0.3 + x)' equal to zero and attempt to solve: Simplifying -0.3 + x = 0 Solving -0.3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + x = 0 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + x = 0 + 0.3 x = 0 + 0.3 Combine like terms: 0 + 0.3 = 0.3 x = 0.3 Add '-1x' to each side of the equation. x + -1x = 0.3 + -1x Combine like terms: x + -1x = 0 0 = 0.3 + -1x Simplifying 0 = 0.3 + -1x 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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