log[14](x^2)+log[14](10)=2

Solution for log[14](x^2)+log[14](10)=2 equation:

Simplifying
log[14](x2) + log[14](10) = 2

Reorder the terms for easier multiplication:
14glo * x2 + log[14](10) = 2

Multiply glo * x2
14glox2 + log[14](10) = 2

Reorder the terms for easier multiplication:
14glox2 + 14 * 10glo = 2

Multiply 14 * 10
14glox2 + 140glo = 2

Reorder the terms:
140glo + 14glox2 = 2

Solving
140glo + 14glox2 = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 140glo + 14glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 140glo + 14glox2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 70glo + 7glox2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 70glo + 7glox2)' equal to zero and attempt to solve:

Simplifying
-1 + 70glo + 7glox2 = 0

Solving
-1 + 70glo + 7glox2 = 0

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

Add '1' to each side of the equation.
-1 + 70glo + 1 + 7glox2 = 0 + 1

Reorder the terms:
-1 + 1 + 70glo + 7glox2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 70glo + 7glox2 = 0 + 1
70glo + 7glox2 = 0 + 1

Combine like terms: 0 + 1 = 1
70glo + 7glox2 = 1

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.