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Simplifying 3 + -4ln(8x + 1) = 7 Reorder the terms: 3 + -4ln(1 + 8x) = 7 3 + (1 * -4ln + 8x * -4ln) = 7 3 + (-4ln + -32lnx) = 7 Solving 3 + -4ln + -32lnx = 7 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4ln + -3 + -32lnx = 7 + -3 Reorder the terms: 3 + -3 + -4ln + -32lnx = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4ln + -32lnx = 7 + -3 -4ln + -32lnx = 7 + -3 Combine like terms: 7 + -3 = 4 -4ln + -32lnx = 4 Reorder the terms: -4 + -4ln + -32lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -4ln + -32lnx = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(1 + ln + 8lnx) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(1 + ln + 8lnx)' equal to zero and attempt to solve: Simplifying 1 + ln + 8lnx = 0 Solving 1 + ln + 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 + ln + -1 + 8lnx = 0 + -1 Reorder the terms: 1 + -1 + ln + 8lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ln + 8lnx = 0 + -1 ln + 8lnx = 0 + -1 Combine like terms: 0 + -1 = -1 ln + 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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