Log[5]10-log[5]2x=2

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Solution for Log[5]10-log[5]2x=2 equation: 


Simplifying
Log[5] * 10 + -1log[5] * 2x = 2

Reorder the terms for easier multiplication:
5 * 10goL + -1log[5] * 2x = 2

Multiply 5 * 10
50goL + -1log[5] * 2x = 2

Reorder the terms for easier multiplication:
50goL + -1 * 5 * 2glo * x = 2

Multiply -1 * 5
50goL + -5 * 2glo * x = 2

Multiply -5 * 2
50goL + -10glo * x = 2

Multiply glo * x
50goL + -10glox = 2

Reorder the terms:
-10glox + 50goL = 2

Solving
-10glox + 50goL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -10glox + 50goL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -10glox + 50goL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -5glox + 25goL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -5glox + 25goL)' equal to zero and attempt to solve:

Simplifying
-1 + -5glox + 25goL = 0

Solving
-1 + -5glox + 25goL = 0

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

Add '1' to each side of the equation.
-1 + -5glox + 1 + 25goL = 0 + 1

Reorder the terms:
-1 + 1 + -5glox + 25goL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5glox + 25goL = 0 + 1
-5glox + 25goL = 0 + 1

Combine like terms: 0 + 1 = 1
-5glox + 25goL = 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.

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