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Simplifying log[5](x) + log[5](x + 2) = log[5](0) Reorder the terms for easier multiplication: 5glo * x + log[5](x + 2) = log[5](0) Multiply glo * x 5glox + log[5](x + 2) = log[5](0) Reorder the terms: 5glox + glo * 5(2 + x) = log[5](0) Reorder the terms for easier multiplication: 5glox + 5glo(2 + x) = log[5](0) 5glox + (2 * 5glo + x * 5glo) = log[5](0) 5glox + (10glo + 5glox) = log[5](0) Reorder the terms: 10glo + 5glox + 5glox = log[5](0) Combine like terms: 5glox + 5glox = 10glox 10glo + 10glox = log[5](0) Reorder the terms for easier multiplication: 10glo + 10glox = 5 * 0glo Multiply 5 * 0 10glo + 10glox = 0glo Anything times zero is zero. 10glo + 10glox = 0glo Solving 10glo + 10glox = 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), '10glo'. 10glo(1 + x) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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