lnsqrt(x)-ln(x+1)=lnx

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Solution for lnsqrt(x)-ln(x+1)=lnx equation:


Simplifying
lnsqrt(x) + -1ln(x + 1) = lnx

Multiply lnqrst * x
lnqrstx + -1ln(x + 1) = lnx

Reorder the terms:
lnqrstx + -1ln(1 + x) = lnx
lnqrstx + (1 * -1ln + x * -1ln) = lnx
lnqrstx + (-1ln + -1lnx) = lnx

Reorder the terms:
-1ln + lnqrstx + -1lnx = lnx

Solving
-1ln + lnqrstx + -1lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-1ln + lnqrstx + -1lnx + -1lnx = lnx + -1lnx

Combine like terms: -1lnx + -1lnx = -2lnx
-1ln + lnqrstx + -2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1ln + lnqrstx + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + qrstx + -2x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(-1 + qrstx + -2x)' equal to zero and attempt to solve: Simplifying -1 + qrstx + -2x = 0 Solving -1 + qrstx + -2x = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + qrstx + 1 + -2x = 0 + 1 Reorder the terms: -1 + 1 + qrstx + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + qrstx + -2x = 0 + 1 qrstx + -2x = 0 + 1 Combine like terms: 0 + 1 = 1 qrstx + -2x = 1 Add '-1qrstx' to each side of the equation. qrstx + -1qrstx + -2x = 1 + -1qrstx Combine like terms: qrstx + -1qrstx = 0 0 + -2x = 1 + -1qrstx -2x = 1 + -1qrstx Add '2x' to each side of the equation. -2x + 2x = 1 + -1qrstx + 2x Combine like terms: -2x + 2x = 0 0 = 1 + -1qrstx + 2x Simplifying 0 = 1 + -1qrstx + 2x 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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