lg(x+1)=1-lgx

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Solution for lg(x+1)=1-lgx equation:


Simplifying
lg(x + 1) = 1 + -1lgx

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

Solving
1gl + glx = 1 + -1glx

Solving for variable 'g'.

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

Add 'glx' to each side of the equation.
1gl + glx + glx = 1 + -1glx + glx

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

Combine like terms: -1glx + glx = 0
1gl + 2glx = 1 + 0
1gl + 2glx = 1

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

Combine like terms: 1 + -1 = 0
-1 + 1gl + 2glx = 0

The solution to this equation could not be determined.

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