log(x-100)+log(x)=5-log(5)+log(4)

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Solution for log(x-100)+log(x)=5-log(5)+log(4) equation:


Simplifying
log(x + -100) + log(x) = 5 + -1log(5) + log(4)

Reorder the terms:
glo(-100 + x) + log(x) = 5 + -1log(5) + log(4)
(-100 * glo + x * glo) + log(x) = 5 + -1log(5) + log(4)
(-100glo + glox) + log(x) = 5 + -1log(5) + log(4)

Multiply glo * x
-100glo + glox + glox = 5 + -1log(5) + log(4)

Combine like terms: glox + glox = 2glox
-100glo + 2glox = 5 + -1log(5) + log(4)

Reorder the terms for easier multiplication:
-100glo + 2glox = 5 + -1 * 5glo + log(4)

Multiply -1 * 5
-100glo + 2glox = 5 + -5glo + log(4)

Reorder the terms for easier multiplication:
-100glo + 2glox = 5 + -5glo + 4glo

Combine like terms: -5glo + 4glo = -1glo
-100glo + 2glox = 5 + -1glo

Solving
-100glo + 2glox = 5 + -1glo

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
-100glo + glo + 2glox = 5 + -1glo + glo

Combine like terms: -100glo + glo = -99glo
-99glo + 2glox = 5 + -1glo + glo

Combine like terms: -1glo + glo = 0
-99glo + 2glox = 5 + 0
-99glo + 2glox = 5

Reorder the terms:
-5 + -99glo + 2glox = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -99glo + 2glox = 0

The solution to this equation could not be determined.

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