log(3)+log(14)=log(6x)

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Solution for log(3)+log(14)=log(6x) equation: 


Simplifying
log(3) + log(14) = log(6x)

Reorder the terms for easier multiplication:
3glo + log(14) = log(6x)

Reorder the terms for easier multiplication:
3glo + 14glo = log(6x)

Combine like terms: 3glo + 14glo = 17glo
17glo = log(6x)

Remove parenthesis around (6x)
17glo = glo * 6x

Reorder the terms for easier multiplication:
17glo = 6glo * x

Multiply glo * x
17glo = 6glox

Solving
17glo = 6glox

Solving for variable 'g'.

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

Add '-6glox' to each side of the equation.
17glo + -6glox = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
17glo + -6glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(17 + -6x) = 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 '(17 + -6x)' equal to zero and attempt to solve:

Simplifying
17 + -6x = 0

Solving
17 + -6x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -6x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 0 + -17
-6x = 0 + -17

Combine like terms: 0 + -17 = -17
-6x = -17

Add '6x' to each side of the equation.
-6x + 6x = -17 + 6x

Combine like terms: -6x + 6x = 0
0 = -17 + 6x

Simplifying
0 = -17 + 6x

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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