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Simplifying ((3) * ln(5x)) + ((8) * ln(x4)) + -1(ln(x7)) = 0 Remove parenthesis around (5x) (3ln * 5x) + ((8) * ln(x4)) + -1(ln(x7)) = 0 Reorder the terms for easier multiplication: (3 * 5ln * x) + ((8) * ln(x4)) + -1(ln(x7)) = 0 Multiply 3 * 5 (15ln * x) + ((8) * ln(x4)) + -1(ln(x7)) = 0 Multiply ln * x (15lnx) + ((8) * ln(x4)) + -1(ln(x7)) = 0 Multiply ln * x4 (15lnx) + (8lnx4) + -1(ln(x7)) = 0 Multiply ln * x7 (15lnx) + (8lnx4) + -1(lnx7) = 0 Solving (15lnx) + (8lnx4) + -1lnx7 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'lnx'. lnx(15 + (8x3) + -1x6) = 0Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(15 + (8x3) + -1x6)' equal to zero and attempt to solve: Simplifying 15 + (8x3) + -1x6 = 0 Solving 15 + (8x3) + -1x6 = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + (8x3) + -15 + -1x6 = 0 + -15 Reorder the terms: 15 + -15 + (8x3) + -1x6 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + (8x3) + -1x6 = 0 + -15 (8x3) + -1x6 = 0 + -15 Combine like terms: 0 + -15 = -15 (8x3) + -1x6 = -15 Add '(-8x3)' to each side of the equation. (8x3) + (-8x3) + -1x6 = -15 + (-8x3) Combine like terms: (8x3) + (-8x3) = 0 0 + -1x6 = -15 + (-8x3) -1x6 = -15 + (-8x3) Add 'x6' to each side of the equation. -1x6 + x6 = -15 + (-8x3) + x6 Combine like terms: -1x6 + x6 = 0 0 = -15 + (-8x3) + x6 Simplifying 0 = -15 + (-8x3) + x6 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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