2log(x)+log(10)=log(90)

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Solution for 2log(x)+log(10)=log(90) equation: 


Simplifying
2log(x) + log(10) = log(90)

Multiply glo * x
2glox + log(10) = log(90)

Reorder the terms for easier multiplication:
2glox + 10glo = log(90)

Reorder the terms:
10glo + 2glox = log(90)

Reorder the terms for easier multiplication:
10glo + 2glox = 90glo

Solving
10glo + 2glox = 90glo

Solving for variable 'g'.

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

Add '-90glo' to each side of the equation.
10glo + -90glo + 2glox = 90glo + -90glo

Combine like terms: 10glo + -90glo = -80glo
-80glo + 2glox = 90glo + -90glo

Combine like terms: 90glo + -90glo = 0
-80glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(-40 + x) = 0

Ignore the factor 2.

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 '(-40 + x)' equal to zero and attempt to solve:

Simplifying
-40 + x = 0

Solving
-40 + x = 0

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

Add '40' to each side of the equation.
-40 + 40 + x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + x = 0 + 40
x = 0 + 40

Combine like terms: 0 + 40 = 40
x = 40

Add '-1x' to each side of the equation.
x + -1x = 40 + -1x

Combine like terms: x + -1x = 0
0 = 40 + -1x

Simplifying
0 = 40 + -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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