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Simplifying Log[5](7 + -4x) = 0 Reorder the terms for easier multiplication: 5goL(7 + -4x) = 0 (7 * 5goL + -4x * 5goL) = 0 (35goL + -20goxL) = 0 Solving 35goL + -20goxL = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5goL'. 5goL(7 + -4x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Add '4x' to each side of the equation. -4x + 4x = -7 + 4x Combine like terms: -4x + 4x = 0 0 = -7 + 4x Simplifying 0 = -7 + 4x 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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