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Simplifying Log(8)(3x + -5) + 10 = 12 Reorder the terms: goL * 8(-5 + 3x) + 10 = 12 Reorder the terms for easier multiplication: 8goL(-5 + 3x) + 10 = 12 (-5 * 8goL + 3x * 8goL) + 10 = 12 (-40goL + 24goxL) + 10 = 12 Reorder the terms: 10 + -40goL + 24goxL = 12 Solving 10 + -40goL + 24goxL = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -40goL + -10 + 24goxL = 12 + -10 Reorder the terms: 10 + -10 + -40goL + 24goxL = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -40goL + 24goxL = 12 + -10 -40goL + 24goxL = 12 + -10 Combine like terms: 12 + -10 = 2 -40goL + 24goxL = 2 Reorder the terms: -2 + -40goL + 24goxL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -40goL + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -20goL + 12goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -20goL + 12goxL)' equal to zero and attempt to solve: Simplifying -1 + -20goL + 12goxL = 0 Solving -1 + -20goL + 12goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -20goL + 1 + 12goxL = 0 + 1 Reorder the terms: -1 + 1 + -20goL + 12goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -20goL + 12goxL = 0 + 1 -20goL + 12goxL = 0 + 1 Combine like terms: 0 + 1 = 1 -20goL + 12goxL = 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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