log[10]x-log[10]3=2

Solution for log[10]x-log[10]3=2 equation:

Simplifying
log[10] * x + -1log[10] * 3 = 2

Reorder the terms for easier multiplication:
10glo * x + -1log[10] * 3 = 2

Multiply glo * x
10glox + -1log[10] * 3 = 2

Reorder the terms for easier multiplication:
10glox + -1 * 10 * 3glo = 2

Multiply -1 * 10
10glox + -10 * 3glo = 2

Multiply -10 * 3
10glox + -30glo = 2

Reorder the terms:
-30glo + 10glox = 2

Solving
-30glo + 10glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -30glo + 10glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -30glo + 10glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -15glo + 5glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -15glo + 5glox)' equal to zero and attempt to solve:

Simplifying
-1 + -15glo + 5glox = 0

Solving
-1 + -15glo + 5glox = 0

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

Add '1' to each side of the equation.
-1 + -15glo + 1 + 5glox = 0 + 1

Reorder the terms:
-1 + 1 + -15glo + 5glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -15glo + 5glox = 0 + 1
-15glo + 5glox = 0 + 1

Combine like terms: 0 + 1 = 1
-15glo + 5glox = 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.