60=82-12log(t+1)

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Solution for 60=82-12log(t+1) equation:


Simplifying
60 = 82 + -12log(t + 1)

Reorder the terms:
60 = 82 + -12glo(1 + t)
60 = 82 + (1 * -12glo + t * -12glo)
60 = 82 + (-12glo + -12glot)

Solving
60 = 82 + -12glo + -12glot

Solving for variable 'g'.

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

Add '12glo' to each side of the equation.
60 + 12glo = 82 + -12glo + 12glo + -12glot

Combine like terms: -12glo + 12glo = 0
60 + 12glo = 82 + 0 + -12glot
60 + 12glo = 82 + -12glot

Add '12glot' to each side of the equation.
60 + 12glo + 12glot = 82 + -12glot + 12glot

Combine like terms: -12glot + 12glot = 0
60 + 12glo + 12glot = 82 + 0
60 + 12glo + 12glot = 82

Add '-60' to each side of the equation.
60 + 12glo + -60 + 12glot = 82 + -60

Reorder the terms:
60 + -60 + 12glo + 12glot = 82 + -60

Combine like terms: 60 + -60 = 0
0 + 12glo + 12glot = 82 + -60
12glo + 12glot = 82 + -60

Combine like terms: 82 + -60 = 22
12glo + 12glot = 22

Reorder the terms:
-22 + 12glo + 12glot = 22 + -22

Combine like terms: 22 + -22 = 0
-22 + 12glo + 12glot = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + 6glo + 6glot) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + 6glo + 6glot)' equal to zero and attempt to solve: Simplifying -11 + 6glo + 6glot = 0 Solving -11 + 6glo + 6glot = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 6glo + 11 + 6glot = 0 + 11 Reorder the terms: -11 + 11 + 6glo + 6glot = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6glo + 6glot = 0 + 11 6glo + 6glot = 0 + 11 Combine like terms: 0 + 11 = 11 6glo + 6glot = 11 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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