log(10)x+log(10)x-1=log(10)30

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Solution for log(10)x+log(10)x-1=log(10)30 equation:


Simplifying
log(10) * x + log(10) * x + -1 = log(10) * 30

Reorder the terms for easier multiplication:
10glo * x + log(10) * x + -1 = log(10) * 30

Multiply glo * x
10glox + log(10) * x + -1 = log(10) * 30

Reorder the terms for easier multiplication:
10glox + 10glo * x + -1 = log(10) * 30

Multiply glo * x
10glox + 10glox + -1 = log(10) * 30

Reorder the terms:
-1 + 10glox + 10glox = log(10) * 30

Combine like terms: 10glox + 10glox = 20glox
-1 + 20glox = log(10) * 30

Reorder the terms for easier multiplication:
-1 + 20glox = 10 * 30glo

Multiply 10 * 30
-1 + 20glox = 300glo

Solving
-1 + 20glox = 300glo

Solving for variable 'g'.

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

Add '-300glo' to each side of the equation.
-1 + -300glo + 20glox = 300glo + -300glo

Combine like terms: 300glo + -300glo = 0
-1 + -300glo + 20glox = 0

Add '1' to each side of the equation.
-1 + -300glo + 1 + 20glox = 0 + 1

Reorder the terms:
-1 + 1 + -300glo + 20glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -300glo + 20glox = 0 + 1
-300glo + 20glox = 0 + 1

Combine like terms: 0 + 1 = 1
-300glo + 20glox = 1

Reorder the terms:
-1 + -300glo + 20glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -300glo + 20glox = 0

The solution to this equation could not be determined.

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