ln(49+x)=log(-44-x)

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Solution for ln(49+x)=log(-44-x) equation:


Simplifying
ln(49 + x) = log(-44 + -1x)
(49 * ln + x * ln) = log(-44 + -1x)
(49ln + lnx) = log(-44 + -1x)
49ln + lnx = (-44 * glo + -1x * glo)
49ln + lnx = (-44glo + -1glox)

Solving
49ln + lnx = -44glo + -1glox

Solving for variable 'l'.

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

Add '44glo' to each side of the equation.
49ln + 44glo + lnx = -44glo + 44glo + -1glox

Reorder the terms:
44glo + 49ln + lnx = -44glo + 44glo + -1glox

Combine like terms: -44glo + 44glo = 0
44glo + 49ln + lnx = 0 + -1glox
44glo + 49ln + lnx = -1glox

Add 'glox' to each side of the equation.
44glo + 49ln + glox + lnx = -1glox + glox

Reorder the terms:
44glo + glox + 49ln + lnx = -1glox + glox

Combine like terms: -1glox + glox = 0
44glo + glox + 49ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(44go + gox + 49n + nx) = 0

Subproblem 1

Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0

Subproblem 2

Set the factor '(44go + gox + 49n + nx)' equal to zero and attempt to solve: Simplifying 44go + gox + 49n + nx = 0 Solving 44go + gox + 49n + nx = 0 Move all terms containing l to the left, all other terms to the right. Add '-44go' to each side of the equation. 44go + gox + 49n + -44go + nx = 0 + -44go Reorder the terms: 44go + -44go + gox + 49n + nx = 0 + -44go Combine like terms: 44go + -44go = 0 0 + gox + 49n + nx = 0 + -44go gox + 49n + nx = 0 + -44go Remove the zero: gox + 49n + nx = -44go Add '-1gox' to each side of the equation. gox + 49n + -1gox + nx = -44go + -1gox Reorder the terms: gox + -1gox + 49n + nx = -44go + -1gox Combine like terms: gox + -1gox = 0 0 + 49n + nx = -44go + -1gox 49n + nx = -44go + -1gox Add '-49n' to each side of the equation. 49n + -49n + nx = -44go + -1gox + -49n Combine like terms: 49n + -49n = 0 0 + nx = -44go + -1gox + -49n nx = -44go + -1gox + -49n Add '-1nx' to each side of the equation. nx + -1nx = -44go + -1gox + -49n + -1nx Combine like terms: nx + -1nx = 0 0 = -44go + -1gox + -49n + -1nx Simplifying 0 = -44go + -1gox + -49n + -1nx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

l = {0}

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