log(t-3)=log(17-4)

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Solution for log(t-3)=log(17-4) equation: 


Simplifying
log(t + -3) = log(17 + -4)

Reorder the terms:
glo(-3 + t) = log(17 + -4)
(-3 * glo + t * glo) = log(17 + -4)
(-3glo + glot) = log(17 + -4)

Combine like terms: 17 + -4 = 13
-3glo + glot = glo(13)

Reorder the terms for easier multiplication:
-3glo + glot = 13glo

Solving
-3glo + glot = 13glo

Solving for variable 'g'.

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

Add '-13glo' to each side of the equation.
-3glo + -13glo + glot = 13glo + -13glo

Combine like terms: -3glo + -13glo = -16glo
-16glo + glot = 13glo + -13glo

Combine like terms: 13glo + -13glo = 0
-16glo + glot = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-16 + t) = 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 '(-16 + t)' equal to zero and attempt to solve:

Simplifying
-16 + t = 0

Solving
-16 + t = 0

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

Add '16' to each side of the equation.
-16 + 16 + t = 0 + 16

Combine like terms: -16 + 16 = 0
0 + t = 0 + 16
t = 0 + 16

Combine like terms: 0 + 16 = 16
t = 16

Add '-1t' to each side of the equation.
t + -1t = 16 + -1t

Combine like terms: t + -1t = 0
0 = 16 + -1t

Simplifying
0 = 16 + -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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