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Simplifying ln(x + 3) + ln(4) = ln(40) Reorder the terms: ln(3 + x) + ln(4) = ln(40) (3 * ln + x * ln) + ln(4) = ln(40) (3ln + lnx) + ln(4) = ln(40) Reorder the terms for easier multiplication: 3ln + lnx + 4ln = ln(40) Reorder the terms: 3ln + 4ln + lnx = ln(40) Combine like terms: 3ln + 4ln = 7ln 7ln + lnx = ln(40) Reorder the terms for easier multiplication: 7ln + lnx = 40ln Solving 7ln + lnx = 40ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-40ln' to each side of the equation. 7ln + -40ln + lnx = 40ln + -40ln Combine like terms: 7ln + -40ln = -33ln -33ln + lnx = 40ln + -40ln Combine like terms: 40ln + -40ln = 0 -33ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-33 + x) = 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 '(-33 + x)' equal to zero and attempt to solve: Simplifying -33 + x = 0 Solving -33 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + x = 0 + 33 x = 0 + 33 Combine like terms: 0 + 33 = 33 x = 33 Add '-1x' to each side of the equation. x + -1x = 33 + -1x Combine like terms: x + -1x = 0 0 = 33 + -1x Simplifying 0 = 33 + -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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