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Simplifying 8ln(16x + -10) + 7 = 35 Reorder the terms: 8ln(-10 + 16x) + 7 = 35 (-10 * 8ln + 16x * 8ln) + 7 = 35 (-80ln + 128lnx) + 7 = 35 Reorder the terms: 7 + -80ln + 128lnx = 35 Solving 7 + -80ln + 128lnx = 35 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -80ln + -7 + 128lnx = 35 + -7 Reorder the terms: 7 + -7 + -80ln + 128lnx = 35 + -7 Combine like terms: 7 + -7 = 0 0 + -80ln + 128lnx = 35 + -7 -80ln + 128lnx = 35 + -7 Combine like terms: 35 + -7 = 28 -80ln + 128lnx = 28 Reorder the terms: -28 + -80ln + 128lnx = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -80ln + 128lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + -20ln + 32lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -20ln + 32lnx)' equal to zero and attempt to solve: Simplifying -7 + -20ln + 32lnx = 0 Solving -7 + -20ln + 32lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -20ln + 7 + 32lnx = 0 + 7 Reorder the terms: -7 + 7 + -20ln + 32lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -20ln + 32lnx = 0 + 7 -20ln + 32lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -20ln + 32lnx = 7 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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