2log(x)-log(10x-250)-1=0

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Solution for 2log(x)-log(10x-250)-1=0 equation:


Simplifying
2log(x) + -1log(10x + -250) + -1 = 0

Multiply glo * x
2glox + -1log(10x + -250) + -1 = 0

Reorder the terms:
2glox + -1glo(-250 + 10x) + -1 = 0
2glox + (-250 * -1glo + 10x * -1glo) + -1 = 0
2glox + (250glo + -10glox) + -1 = 0

Reorder the terms:
-1 + 250glo + 2glox + -10glox = 0

Combine like terms: 2glox + -10glox = -8glox
-1 + 250glo + -8glox = 0

Solving
-1 + 250glo + -8glox = 0

Solving for variable 'g'.

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

Add '1' to each side of the equation.
-1 + 250glo + 1 + -8glox = 0 + 1

Reorder the terms:
-1 + 1 + 250glo + -8glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 250glo + -8glox = 0 + 1
250glo + -8glox = 0 + 1

Combine like terms: 0 + 1 = 1
250glo + -8glox = 1

Reorder the terms:
-1 + 250glo + -8glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 250glo + -8glox = 0

The solution to this equation could not be determined.

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