log(5)x=log(3)20

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Solution for log(5)x=log(3)20 equation: 


Simplifying
log(5) * x = log(3) * 20

Reorder the terms for easier multiplication:
5glo * x = log(3) * 20

Multiply glo * x
5glox = log(3) * 20

Reorder the terms for easier multiplication:
5glox = 3 * 20glo

Multiply 3 * 20
5glox = 60glo

Solving
5glox = 60glo

Solving for variable 'g'.

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

Add '-60glo' to each side of the equation.
-60glo + 5glox = 60glo + -60glo

Combine like terms: 60glo + -60glo = 0
-60glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(-12 + x) = 0

Ignore the factor 5.

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 '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Add '-1x' to each side of the equation.
x + -1x = 12 + -1x

Combine like terms: x + -1x = 0
0 = 12 + -1x

Simplifying
0 = 12 + -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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