Log(x+1)=log(x)

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Solution for Log(x+1)=log(x) equation:


Simplifying
Log(x + 1) = log(x)

Reorder the terms:
goL(1 + x) = log(x)
(1 * goL + x * goL) = log(x)
(1goL + goxL) = log(x)

Multiply glo * x
1goL + goxL = glox

Solving
1goL + goxL = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
1goL + -1glox + goxL = glox + -1glox

Reorder the terms:
-1glox + 1goL + goxL = glox + -1glox

Combine like terms: glox + -1glox = 0
-1glox + 1goL + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-1lx + L + xL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1lx + L + xL)' equal to zero and attempt to solve: Simplifying -1lx + L + xL = 0 Reorder the terms: L + -1lx + xL = 0 Solving L + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1lx + -1L + xL = 0 + -1L Reorder the terms: L + -1L + -1lx + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -1lx + xL = 0 + -1L -1lx + xL = 0 + -1L Remove the zero: -1lx + xL = -1L Add 'lx' to each side of the equation. -1lx + lx + xL = -1L + lx Combine like terms: -1lx + lx = 0 0 + xL = -1L + lx xL = -1L + lx Add '-1xL' to each side of the equation. xL + -1xL = -1L + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1L + lx + -1xL Simplifying 0 = -1L + lx + -1xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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