log(3x+5)=log(6)

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Solution for log(3x+5)=log(6) equation: 


Simplifying
log(3x + 5) = log(6)

Reorder the terms:
glo(5 + 3x) = log(6)
(5 * glo + 3x * glo) = log(6)
(5glo + 3glox) = log(6)

Reorder the terms for easier multiplication:
5glo + 3glox = 6glo

Solving
5glo + 3glox = 6glo

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
5glo + -6glo + 3glox = 6glo + -6glo

Combine like terms: 5glo + -6glo = -1glo
-1glo + 3glox = 6glo + -6glo

Combine like terms: 6glo + -6glo = 0
-1glo + 3glox = 0

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


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(-1 + 3x)' equal to zero and attempt to solve:

Simplifying
-1 + 3x = 0

Solving
-1 + 3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 0 + 1
3x = 0 + 1

Combine like terms: 0 + 1 = 1
3x = 1

Add '-3x' to each side of the equation.
3x + -3x = 1 + -3x

Combine like terms: 3x + -3x = 0
0 = 1 + -3x

Simplifying
0 = 1 + -3x

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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