2log(6n+4)+5=9

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Solution for 2log(6n+4)+5=9 equation: 


Simplifying
2log(6n + 4) + 5 = 9

Reorder the terms:
2glo(4 + 6n) + 5 = 9
(4 * 2glo + 6n * 2glo) + 5 = 9

Reorder the terms:
(12glno + 8glo) + 5 = 9
(12glno + 8glo) + 5 = 9

Reorder the terms:
5 + 12glno + 8glo = 9

Solving
5 + 12glno + 8glo = 9

Solving for variable 'g'.

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

Add '-5' to each side of the equation.
5 + 12glno + -5 + 8glo = 9 + -5

Reorder the terms:
5 + -5 + 12glno + 8glo = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 12glno + 8glo = 9 + -5
12glno + 8glo = 9 + -5

Combine like terms: 9 + -5 = 4
12glno + 8glo = 4

Reorder the terms:
-4 + 12glno + 8glo = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 12glno + 8glo = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 3glno + 2glo) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + 3glno + 2glo)' equal to zero and attempt to solve:

Simplifying
-1 + 3glno + 2glo = 0

Solving
-1 + 3glno + 2glo = 0

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

Add '1' to each side of the equation.
-1 + 3glno + 1 + 2glo = 0 + 1

Reorder the terms:
-1 + 1 + 3glno + 2glo = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3glno + 2glo = 0 + 1
3glno + 2glo = 0 + 1

Combine like terms: 0 + 1 = 1
3glno + 2glo = 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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