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Simplifying log[6](5x) + log[6](7) = 2 Remove parenthesis around (5x) glo * 6 * 5x + log[6](7) = 2 Reorder the terms for easier multiplication: 6 * 5glo * x + log[6](7) = 2 Multiply 6 * 5 30glo * x + log[6](7) = 2 Multiply glo * x 30glox + log[6](7) = 2 Reorder the terms for easier multiplication: 30glox + 6 * 7glo = 2 Multiply 6 * 7 30glox + 42glo = 2 Reorder the terms: 42glo + 30glox = 2 Solving 42glo + 30glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 42glo + 30glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 42glo + 30glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 21glo + 15glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 21glo + 15glox)' equal to zero and attempt to solve: Simplifying -1 + 21glo + 15glox = 0 Solving -1 + 21glo + 15glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 21glo + 1 + 15glox = 0 + 1 Reorder the terms: -1 + 1 + 21glo + 15glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 21glo + 15glox = 0 + 1 21glo + 15glox = 0 + 1 Combine like terms: 0 + 1 = 1 21glo + 15glox = 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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