12=6ln(28t+1)

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Solution for 12=6ln(28t+1) equation: 


Simplifying
12 = 6ln(28t + 1)

Reorder the terms:
12 = 6ln(1 + 28t)
12 = (1 * 6ln + 28t * 6ln)
12 = (6ln + 168lnt)

Solving
12 = 6ln + 168lnt

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
12 + -6ln = 6ln + -6ln + 168lnt

Combine like terms: 6ln + -6ln = 0
12 + -6ln = 0 + 168lnt
12 + -6ln = 168lnt

Add '-168lnt' to each side of the equation.
12 + -6ln + -168lnt = 168lnt + -168lnt

Combine like terms: 168lnt + -168lnt = 0
12 + -6ln + -168lnt = 0

Add '-12' to each side of the equation.
12 + -6ln + -12 + -168lnt = 0 + -12

Reorder the terms:
12 + -12 + -6ln + -168lnt = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -6ln + -168lnt = 0 + -12
-6ln + -168lnt = 0 + -12

Combine like terms: 0 + -12 = -12
-6ln + -168lnt = -12

Reorder the terms:
12 + -6ln + -168lnt = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -6ln + -168lnt = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + -1ln + -28lnt) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(2 + -1ln + -28lnt)' equal to zero and attempt to solve:

Simplifying
2 + -1ln + -28lnt = 0

Solving
2 + -1ln + -28lnt = 0

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

Add '-2' to each side of the equation.
2 + -1ln + -2 + -28lnt = 0 + -2

Reorder the terms:
2 + -2 + -1ln + -28lnt = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1ln + -28lnt = 0 + -2
-1ln + -28lnt = 0 + -2

Combine like terms: 0 + -2 = -2
-1ln + -28lnt = -2

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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