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Simplifying log[5] * 3 + log[5] * t + log[5](t + 4) = log[5] * 63 Reorder the terms for easier multiplication: 5 * 3glo + log[5] * t + log[5](t + 4) = log[5] * 63 Multiply 5 * 3 15glo + log[5] * t + log[5](t + 4) = log[5] * 63 Reorder the terms for easier multiplication: 15glo + 5glo * t + log[5](t + 4) = log[5] * 63 Multiply glo * t 15glo + 5glot + log[5](t + 4) = log[5] * 63 Reorder the terms: 15glo + 5glot + glo * 5(4 + t) = log[5] * 63 Reorder the terms for easier multiplication: 15glo + 5glot + 5glo(4 + t) = log[5] * 63 15glo + 5glot + (4 * 5glo + t * 5glo) = log[5] * 63 15glo + 5glot + (20glo + 5glot) = log[5] * 63 Reorder the terms: 15glo + 20glo + 5glot + 5glot = log[5] * 63 Combine like terms: 15glo + 20glo = 35glo 35glo + 5glot + 5glot = log[5] * 63 Combine like terms: 5glot + 5glot = 10glot 35glo + 10glot = log[5] * 63 Reorder the terms for easier multiplication: 35glo + 10glot = 5 * 63glo Multiply 5 * 63 35glo + 10glot = 315glo Solving 35glo + 10glot = 315glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-315glo' to each side of the equation. 35glo + -315glo + 10glot = 315glo + -315glo Combine like terms: 35glo + -315glo = -280glo -280glo + 10glot = 315glo + -315glo Combine like terms: 315glo + -315glo = 0 -280glo + 10glot = 0 Factor out the Greatest Common Factor (GCF), '10glo'. 10glo(-28 + t) = 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 '(-28 + t)' equal to zero and attempt to solve: Simplifying -28 + t = 0 Solving -28 + t = 0 Move all terms containing g to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + t = 0 + 28 t = 0 + 28 Combine like terms: 0 + 28 = 28 t = 28 Add '-1t' to each side of the equation. t + -1t = 28 + -1t Combine like terms: t + -1t = 0 0 = 28 + -1t Simplifying 0 = 28 + -1t 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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