log(t+8)+log(t)=log(33)

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Solution for log(t+8)+log(t)=log(33) equation: 


Simplifying
log(t + 8) + log(t) = log(33)

Reorder the terms:
glo(8 + t) + log(t) = log(33)
(8 * glo + t * glo) + log(t) = log(33)
(8glo + glot) + log(t) = log(33)

Multiply glo * t
8glo + glot + glot = log(33)

Combine like terms: glot + glot = 2glot
8glo + 2glot = log(33)

Reorder the terms for easier multiplication:
8glo + 2glot = 33glo

Solving
8glo + 2glot = 33glo

Solving for variable 'g'.

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

Add '-33glo' to each side of the equation.
8glo + -33glo + 2glot = 33glo + -33glo

Combine like terms: 8glo + -33glo = -25glo
-25glo + 2glot = 33glo + -33glo

Combine like terms: 33glo + -33glo = 0
-25glo + 2glot = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-25 + 2t) = 0


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 '(-25 + 2t)' equal to zero and attempt to solve:

Simplifying
-25 + 2t = 0

Solving
-25 + 2t = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2t = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2t = 0 + 25
2t = 0 + 25

Combine like terms: 0 + 25 = 25
2t = 25

Add '-2t' to each side of the equation.
2t + -2t = 25 + -2t

Combine like terms: 2t + -2t = 0
0 = 25 + -2t

Simplifying
0 = 25 + -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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