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Simplifying 7 + log[3](5x + -4) = 10 Reorder the terms: 7 + glo * 3(-4 + 5x) = 10 Reorder the terms for easier multiplication: 7 + 3glo(-4 + 5x) = 10 7 + (-4 * 3glo + 5x * 3glo) = 10 7 + (-12glo + 15glox) = 10 Solving 7 + -12glo + 15glox = 10 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -12glo + -7 + 15glox = 10 + -7 Reorder the terms: 7 + -7 + -12glo + 15glox = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -12glo + 15glox = 10 + -7 -12glo + 15glox = 10 + -7 Combine like terms: 10 + -7 = 3 -12glo + 15glox = 3 Reorder the terms: -3 + -12glo + 15glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -12glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -4glo + 5glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -4glo + 5glox)' equal to zero and attempt to solve: Simplifying -1 + -4glo + 5glox = 0 Solving -1 + -4glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4glo + 1 + 5glox = 0 + 1 Reorder the terms: -1 + 1 + -4glo + 5glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4glo + 5glox = 0 + 1 -4glo + 5glox = 0 + 1 Combine like terms: 0 + 1 = 1 -4glo + 5glox = 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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