log(10x)-log(3x-14)=3

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Solution for log(10x)-log(3x-14)=3 equation:


Simplifying
log(10x) + -1log(3x + -14) = 3

Remove parenthesis around (10x)
glo * 10x + -1log(3x + -14) = 3

Reorder the terms for easier multiplication:
10glo * x + -1log(3x + -14) = 3

Multiply glo * x
10glox + -1log(3x + -14) = 3

Reorder the terms:
10glox + -1glo(-14 + 3x) = 3
10glox + (-14 * -1glo + 3x * -1glo) = 3
10glox + (14glo + -3glox) = 3

Reorder the terms:
14glo + 10glox + -3glox = 3

Combine like terms: 10glox + -3glox = 7glox
14glo + 7glox = 3

Solving
14glo + 7glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 14glo + 7glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 14glo + 7glox = 0

The solution to this equation could not be determined.

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