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Simplifying ln(x) + ln(X + 10) = ln(39) Multiply ln * x lnx + ln(X + 10) = ln(39) Reorder the terms: lnx + ln(10 + X) = ln(39) lnx + (10 * ln + X * ln) = ln(39) lnx + (10ln + lnX) = ln(39) Reorder the terms: 10ln + lnX + lnx = ln(39) Reorder the terms for easier multiplication: 10ln + lnX + lnx = 39ln Solving 10ln + lnX + lnx = 39ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-39ln' to each side of the equation. 10ln + lnX + -39ln + lnx = 39ln + -39ln Reorder the terms: 10ln + -39ln + lnX + lnx = 39ln + -39ln Combine like terms: 10ln + -39ln = -29ln -29ln + lnX + lnx = 39ln + -39ln Combine like terms: 39ln + -39ln = 0 -29ln + lnX + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-29 + X + 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 '(-29 + X + x)' equal to zero and attempt to solve: Simplifying -29 + X + x = 0 Solving -29 + X + x = 0 Move all terms containing l to the left, all other terms to the right. Add '29' to each side of the equation. -29 + X + 29 + x = 0 + 29 Reorder the terms: -29 + 29 + X + x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + X + x = 0 + 29 X + x = 0 + 29 Combine like terms: 0 + 29 = 29 X + x = 29 Add '-1X' to each side of the equation. X + -1X + x = 29 + -1X Combine like terms: X + -1X = 0 0 + x = 29 + -1X x = 29 + -1X Add '-1x' to each side of the equation. x + -1x = 29 + -1X + -1x Combine like terms: x + -1x = 0 0 = 29 + -1X + -1x Simplifying 0 = 29 + -1X + -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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