3log(x)=log(27)

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Solution for 3log(x)=log(27) equation: 


Simplifying
3log(x) = log(27)

Multiply glo * x
3glox = log(27)

Reorder the terms for easier multiplication:
3glox = 27glo

Solving
3glox = 27glo

Solving for variable 'g'.

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

Add '-27glo' to each side of the equation.
-27glo + 3glox = 27glo + -27glo

Combine like terms: 27glo + -27glo = 0
-27glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(-9 + x) = 0

Ignore the factor 3.

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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Add '-1x' to each side of the equation.
x + -1x = 9 + -1x

Combine like terms: x + -1x = 0
0 = 9 + -1x

Simplifying
0 = 9 + -1x

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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