log(x^2-10)+log(9)=log(10)

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Solution for log(x^2-10)+log(9)=log(10) equation: 


Simplifying
log(x2 + -10) + log(9) = log(10)

Reorder the terms:
glo(-10 + x2) + log(9) = log(10)
(-10 * glo + x2 * glo) + log(9) = log(10)
(-10glo + glox2) + log(9) = log(10)

Reorder the terms for easier multiplication:
-10glo + glox2 + 9glo = log(10)

Reorder the terms:
-10glo + 9glo + glox2 = log(10)

Combine like terms: -10glo + 9glo = -1glo
-1glo + glox2 = log(10)

Reorder the terms for easier multiplication:
-1glo + glox2 = 10glo

Solving
-1glo + glox2 = 10glo

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
-1glo + -10glo + glox2 = 10glo + -10glo

Combine like terms: -1glo + -10glo = -11glo
-11glo + glox2 = 10glo + -10glo

Combine like terms: 10glo + -10glo = 0
-11glo + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-11 + x2) = 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 '(-11 + x2)' equal to zero and attempt to solve:

Simplifying
-11 + x2 = 0

Solving
-11 + x2 = 0

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

Add '11' to each side of the equation.
-11 + 11 + x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x2 = 0 + 11
x2 = 0 + 11

Combine like terms: 0 + 11 = 11
x2 = 11

Add '-1x2' to each side of the equation.
x2 + -1x2 = 11 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 11 + -1x2

Simplifying
0 = 11 + -1x2

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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