lg(2x)-lg(x-3)=1

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Solution for lg(2x)-lg(x-3)=1 equation:


Simplifying
lg(2x) + -1lg(x + -3) = 1

Remove parenthesis around (2x)
gl * 2x + -1lg(x + -3) = 1

Reorder the terms for easier multiplication:
2gl * x + -1lg(x + -3) = 1

Multiply gl * x
2glx + -1lg(x + -3) = 1

Reorder the terms:
2glx + -1gl(-3 + x) = 1
2glx + (-3 * -1gl + x * -1gl) = 1
2glx + (3gl + -1glx) = 1

Reorder the terms:
3gl + 2glx + -1glx = 1

Combine like terms: 2glx + -1glx = 1glx
3gl + 1glx = 1

Solving
3gl + 1glx = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 3gl + 1glx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 3gl + 1glx = 0

The solution to this equation could not be determined.

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