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Simplifying ln(8) + ln(256) = xln(2) Reorder the terms for easier multiplication: 8ln + ln(256) = xln(2) Reorder the terms for easier multiplication: 8ln + 256ln = xln(2) Combine like terms: 8ln + 256ln = 264ln 264ln = xln(2) Reorder the terms for easier multiplication: 264ln = 2lnx Solving 264ln = 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. 264ln + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 264ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(132 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(132 + -1x)' equal to zero and attempt to solve: Simplifying 132 + -1x = 0 Solving 132 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + -1x = 0 + -132 Combine like terms: 132 + -132 = 0 0 + -1x = 0 + -132 -1x = 0 + -132 Combine like terms: 0 + -132 = -132 -1x = -132 Add 'x' to each side of the equation. -1x + x = -132 + x Combine like terms: -1x + x = 0 0 = -132 + x Simplifying 0 = -132 + x 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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