log(5-t)+log(2-t)=log(28)

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Solution for log(5-t)+log(2-t)=log(28) equation:


Simplifying
log(5 + -1t) + log(2 + -1t) = log(28)
(5 * glo + -1t * glo) + log(2 + -1t) = log(28)
(5glo + -1glot) + log(2 + -1t) = log(28)
5glo + -1glot + (2 * glo + -1t * glo) = log(28)
5glo + -1glot + (2glo + -1glot) = log(28)

Reorder the terms:
5glo + 2glo + -1glot + -1glot = log(28)

Combine like terms: 5glo + 2glo = 7glo
7glo + -1glot + -1glot = log(28)

Combine like terms: -1glot + -1glot = -2glot
7glo + -2glot = log(28)

Reorder the terms for easier multiplication:
7glo + -2glot = 28glo

Solving
7glo + -2glot = 28glo

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-28glo' to each side of the equation.
7glo + -28glo + -2glot = 28glo + -28glo

Combine like terms: 7glo + -28glo = -21glo
-21glo + -2glot = 28glo + -28glo

Combine like terms: 28glo + -28glo = 0
-21glo + -2glot = 0

Factor out the Greatest Common Factor (GCF), '-1glo'.
-1glo(21 + 2t) = 0

Ignore the factor -1.

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 '(21 + 2t)' equal to zero and attempt to solve: Simplifying 21 + 2t = 0 Solving 21 + 2t = 0 Move all terms containing g to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2t = 0 + -21 2t = 0 + -21 Combine like terms: 0 + -21 = -21 2t = -21 Add '-2t' to each side of the equation. 2t + -2t = -21 + -2t Combine like terms: 2t + -2t = 0 0 = -21 + -2t Simplifying 0 = -21 + -2t 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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