log(5x-4)=log(x+1)+log(4)findx

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Solution for log(5x-4)=log(x+1)+log(4)findx equation:


Simplifying
log(5x + -4) = log(x + 1) + log(4) * findx

Reorder the terms:
glo(-4 + 5x) = log(x + 1) + log(4) * findx
(-4 * glo + 5x * glo) = log(x + 1) + log(4) * findx
(-4glo + 5glox) = log(x + 1) + log(4) * findx

Reorder the terms:
-4glo + 5glox = glo(1 + x) + log(4) * findx
-4glo + 5glox = (1 * glo + x * glo) + log(4) * findx
-4glo + 5glox = (1glo + glox) + log(4) * findx

Reorder the terms for easier multiplication:
-4glo + 5glox = 1glo + glox + 4glo * dfinx

Multiply glo * dfinx
-4glo + 5glox = 1glo + glox + 4dfgilnox

Reorder the terms:
-4glo + 5glox = 4dfgilnox + 1glo + glox

Solving
-4glo + 5glox = 4dfgilnox + 1glo + glox

Solving for variable 'g'.

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

Add '-4dfgilnox' to each side of the equation.
-4glo + -4dfgilnox + 5glox = 4dfgilnox + 1glo + -4dfgilnox + glox

Reorder the terms:
-4dfgilnox + -4glo + 5glox = 4dfgilnox + 1glo + -4dfgilnox + glox

Reorder the terms:
-4dfgilnox + -4glo + 5glox = 4dfgilnox + -4dfgilnox + 1glo + glox

Combine like terms: 4dfgilnox + -4dfgilnox = 0
-4dfgilnox + -4glo + 5glox = 0 + 1glo + glox
-4dfgilnox + -4glo + 5glox = 1glo + glox

Add '-1glo' to each side of the equation.
-4dfgilnox + -4glo + -1glo + 5glox = 1glo + -1glo + glox

Combine like terms: -4glo + -1glo = -5glo
-4dfgilnox + -5glo + 5glox = 1glo + -1glo + glox

Combine like terms: 1glo + -1glo = 0
-4dfgilnox + -5glo + 5glox = 0 + glox
-4dfgilnox + -5glo + 5glox = glox

Add '-1glox' to each side of the equation.
-4dfgilnox + -5glo + 5glox + -1glox = glox + -1glox

Combine like terms: 5glox + -1glox = 4glox
-4dfgilnox + -5glo + 4glox = glox + -1glox

Combine like terms: glox + -1glox = 0
-4dfgilnox + -5glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-4dfinx + -5 + 4x) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-4dfinx + -5 + 4x)' equal to zero and attempt to solve: Simplifying -4dfinx + -5 + 4x = 0 Reorder the terms: -5 + -4dfinx + 4x = 0 Solving -5 + -4dfinx + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4dfinx + 5 + 4x = 0 + 5 Reorder the terms: -5 + 5 + -4dfinx + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4dfinx + 4x = 0 + 5 -4dfinx + 4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4dfinx + 4x = 5 Add '4dfinx' to each side of the equation. -4dfinx + 4dfinx + 4x = 5 + 4dfinx Combine like terms: -4dfinx + 4dfinx = 0 0 + 4x = 5 + 4dfinx 4x = 5 + 4dfinx Add '-4x' to each side of the equation. 4x + -4x = 5 + 4dfinx + -4x Combine like terms: 4x + -4x = 0 0 = 5 + 4dfinx + -4x Simplifying 0 = 5 + 4dfinx + -4x 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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