Log[6](5t-2)-4=-2

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Solution for Log[6](5t-2)-4=-2 equation: 


Simplifying
Log[6](5t + -2) + -4 = -2

Reorder the terms:
goL * 6(-2 + 5t) + -4 = -2

Reorder the terms for easier multiplication:
6goL(-2 + 5t) + -4 = -2
(-2 * 6goL + 5t * 6goL) + -4 = -2
(-12goL + 30gotL) + -4 = -2

Reorder the terms:
-4 + -12goL + 30gotL = -2

Solving
-4 + -12goL + 30gotL = -2

Solving for variable 'g'.

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

Add '4' to each side of the equation.
-4 + -12goL + 4 + 30gotL = -2 + 4

Reorder the terms:
-4 + 4 + -12goL + 30gotL = -2 + 4

Combine like terms: -4 + 4 = 0
0 + -12goL + 30gotL = -2 + 4
-12goL + 30gotL = -2 + 4

Combine like terms: -2 + 4 = 2
-12goL + 30gotL = 2

Reorder the terms:
-2 + -12goL + 30gotL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -12goL + 30gotL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -6goL + 15gotL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -6goL + 15gotL)' equal to zero and attempt to solve:

Simplifying
-1 + -6goL + 15gotL = 0

Solving
-1 + -6goL + 15gotL = 0

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

Add '1' to each side of the equation.
-1 + -6goL + 1 + 15gotL = 0 + 1

Reorder the terms:
-1 + 1 + -6goL + 15gotL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6goL + 15gotL = 0 + 1
-6goL + 15gotL = 0 + 1

Combine like terms: 0 + 1 = 1
-6goL + 15gotL = 1

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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