Log(x+1)=log^2

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Solution for Log(x+1)=log^2 equation:


Simplifying
Log(x + 1) = log2

Reorder the terms:
goL(1 + x) = log2
(1 * goL + x * goL) = log2
(1goL + goxL) = log2

Solving
1goL + goxL = g2lo

Solving for variable 'g'.

Combine like terms: g2lo + -1g2lo = 0
1goL + goxL + -1g2lo = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(L + xL + -1gl) = 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 '(L + xL + -1gl)' equal to zero and attempt to solve: Simplifying L + xL + -1gl = 0 Reorder the terms: L + -1gl + xL = 0 Solving L + -1gl + 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 + -1gl + -1L + xL = 0 + -1L Reorder the terms: L + -1L + -1gl + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -1gl + xL = 0 + -1L -1gl + xL = 0 + -1L Remove the zero: -1gl + xL = -1L Add '-1xL' to each side of the equation. -1gl + xL + -1xL = -1L + -1xL Combine like terms: xL + -1xL = 0 -1gl + 0 = -1L + -1xL -1gl = -1L + -1xL Divide each side by '-1l'. g = l-1L + l-1xL Simplifying g = l-1L + l-1xL

Solution

g = {l-1L + l-1xL}

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