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Simplifying log[5](x + 2) + -1log[5](x) = log[5](4) Reorder the terms: glo * 5(2 + x) + -1log[5](x) = log[5](4) Reorder the terms for easier multiplication: 5glo(2 + x) + -1log[5](x) = log[5](4) (2 * 5glo + x * 5glo) + -1log[5](x) = log[5](4) (10glo + 5glox) + -1log[5](x) = log[5](4) Reorder the terms for easier multiplication: 10glo + 5glox + -1 * 5glo * x = log[5](4) Multiply -1 * 5 10glo + 5glox + -5glo * x = log[5](4) Multiply glo * x 10glo + 5glox + -5glox = log[5](4) Combine like terms: 5glox + -5glox = 0 10glo + 0 = log[5](4) 10glo = log[5](4) Reorder the terms for easier multiplication: 10glo = 5 * 4glo Multiply 5 * 4 10glo = 20glo Solving 10glo = 20glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20glo' to each side of the equation. 10glo + -20glo = 20glo + -20glo Combine like terms: 10glo + -20glo = -10glo -10glo = 20glo + -20glo Combine like terms: 20glo + -20glo = 0 -10glo = 0 Divide each side by '-10'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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