Log[5](8-3n)=0

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Solution for Log[5](8-3n)=0 equation: 


Simplifying
Log[5](8 + -3n) = 0

Reorder the terms for easier multiplication:
5goL(8 + -3n) = 0
(8 * 5goL + -3n * 5goL) = 0

Reorder the terms:
(-15gnoL + 40goL) = 0
(-15gnoL + 40goL) = 0

Solving
-15gnoL + 40goL = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '5goL'.
5goL(-3n + 8) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve:

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 '(-3n + 8)' equal to zero and attempt to solve:

Simplifying
-3n + 8 = 0

Reorder the terms:
8 + -3n = 0

Solving
8 + -3n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = 0 + -8
-3n = 0 + -8

Combine like terms: 0 + -8 = -8
-3n = -8

Add '3n' to each side of the equation.
-3n + 3n = -8 + 3n

Combine like terms: -3n + 3n = 0
0 = -8 + 3n

Simplifying
0 = -8 + 3n

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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