log(3)+2log(5)-log(3x)=0

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Solution for log(3)+2log(5)-log(3x)=0 equation: 


Simplifying
log(3) + 2log(5) + -1log(3x) = 0

Reorder the terms for easier multiplication:
3glo + 2log(5) + -1log(3x) = 0

Reorder the terms for easier multiplication:
3glo + 2 * 5glo + -1log(3x) = 0

Multiply 2 * 5
3glo + 10glo + -1log(3x) = 0

Remove parenthesis around (3x)
3glo + 10glo + -1glo * 3x = 0

Reorder the terms for easier multiplication:
3glo + 10glo + -1 * 3glo * x = 0

Multiply -1 * 3
3glo + 10glo + -3glo * x = 0

Multiply glo * x
3glo + 10glo + -3glox = 0

Combine like terms: 3glo + 10glo = 13glo
13glo + -3glox = 0

Solving
13glo + -3glox = 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), 'glo'.
glo(13 + -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 '(13 + -3x)' equal to zero and attempt to solve:

Simplifying
13 + -3x = 0

Solving
13 + -3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 0 + -13
-3x = 0 + -13

Combine like terms: 0 + -13 = -13
-3x = -13

Add '3x' to each side of the equation.
-3x + 3x = -13 + 3x

Combine like terms: -3x + 3x = 0
0 = -13 + 3x

Simplifying
0 = -13 + 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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