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Simplifying ln(5x8) + ln(5x7) = 0 Remove parenthesis around (5x8) ln * 5x8 + ln(5x7) = 0 Reorder the terms for easier multiplication: 5ln * x8 + ln(5x7) = 0 Multiply ln * x8 5lnx8 + ln(5x7) = 0 Remove parenthesis around (5x7) 5lnx8 + ln * 5x7 = 0 Reorder the terms for easier multiplication: 5lnx8 + 5ln * x7 = 0 Multiply ln * x7 5lnx8 + 5lnx7 = 0 Reorder the terms: 5lnx7 + 5lnx8 = 0 Solving 5lnx7 + 5lnx8 = 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), '5lnx7'. 5lnx7(1 + x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'lnx7' equal to zero and attempt to solve: Simplifying lnx7 = 0 Solving lnx7 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx7 = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -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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