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Simplifying 10 + -8ln(8x + -7) = 18 Reorder the terms: 10 + -8ln(-7 + 8x) = 18 10 + (-7 * -8ln + 8x * -8ln) = 18 10 + (56ln + -64lnx) = 18 Solving 10 + 56ln + -64lnx = 18 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 56ln + -10 + -64lnx = 18 + -10 Reorder the terms: 10 + -10 + 56ln + -64lnx = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 56ln + -64lnx = 18 + -10 56ln + -64lnx = 18 + -10 Combine like terms: 18 + -10 = 8 56ln + -64lnx = 8 Reorder the terms: -8 + 56ln + -64lnx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 56ln + -64lnx = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-1 + 7ln + -8lnx) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + 7ln + -8lnx)' equal to zero and attempt to solve: Simplifying -1 + 7ln + -8lnx = 0 Solving -1 + 7ln + -8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7ln + 1 + -8lnx = 0 + 1 Reorder the terms: -1 + 1 + 7ln + -8lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7ln + -8lnx = 0 + 1 7ln + -8lnx = 0 + 1 Combine like terms: 0 + 1 = 1 7ln + -8lnx = 1 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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