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Simplifying ln(4x) + ln(4x) = ln(17) Remove parenthesis around (4x) ln * 4x + ln(4x) = ln(17) Reorder the terms for easier multiplication: 4ln * x + ln(4x) = ln(17) Multiply ln * x 4lnx + ln(4x) = ln(17) Remove parenthesis around (4x) 4lnx + ln * 4x = ln(17) Reorder the terms for easier multiplication: 4lnx + 4ln * x = ln(17) Multiply ln * x 4lnx + 4lnx = ln(17) Combine like terms: 4lnx + 4lnx = 8lnx 8lnx = ln(17) Reorder the terms for easier multiplication: 8lnx = 17ln Solving 8lnx = 17ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-17ln' to each side of the equation. -17ln + 8lnx = 17ln + -17ln Combine like terms: 17ln + -17ln = 0 -17ln + 8lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-17 + 8x) = 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 '(-17 + 8x)' equal to zero and attempt to solve: Simplifying -17 + 8x = 0 Solving -17 + 8x = 0 Move all terms containing l to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 0 + 17 8x = 0 + 17 Combine like terms: 0 + 17 = 17 8x = 17 Add '-8x' to each side of the equation. 8x + -8x = 17 + -8x Combine like terms: 8x + -8x = 0 0 = 17 + -8x Simplifying 0 = 17 + -8x 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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