Log(4x+3)=log(2x+13)

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Solution for Log(4x+3)=log(2x+13) equation:


Simplifying
Log(4x + 3) = log(2x + 13)

Reorder the terms:
goL(3 + 4x) = log(2x + 13)
(3 * goL + 4x * goL) = log(2x + 13)
(3goL + 4goxL) = log(2x + 13)

Reorder the terms:
3goL + 4goxL = glo(13 + 2x)
3goL + 4goxL = (13 * glo + 2x * glo)
3goL + 4goxL = (13glo + 2glox)

Solving
3goL + 4goxL = 13glo + 2glox

Solving for variable 'g'.

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

Add '-13glo' to each side of the equation.
3goL + -13glo + 4goxL = 13glo + -13glo + 2glox

Reorder the terms:
-13glo + 3goL + 4goxL = 13glo + -13glo + 2glox

Combine like terms: 13glo + -13glo = 0
-13glo + 3goL + 4goxL = 0 + 2glox
-13glo + 3goL + 4goxL = 2glox

Add '-2glox' to each side of the equation.
-13glo + 3goL + -2glox + 4goxL = 2glox + -2glox

Reorder the terms:
-13glo + -2glox + 3goL + 4goxL = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-13glo + -2glox + 3goL + 4goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-13l + -2lx + 3L + 4xL) = 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 '(-13l + -2lx + 3L + 4xL)' equal to zero and attempt to solve: Simplifying -13l + -2lx + 3L + 4xL = 0 Reorder the terms: 3L + -13l + -2lx + 4xL = 0 Solving 3L + -13l + -2lx + 4xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -13l + -2lx + -3L + 4xL = 0 + -3L Reorder the terms: 3L + -3L + -13l + -2lx + 4xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -13l + -2lx + 4xL = 0 + -3L -13l + -2lx + 4xL = 0 + -3L Remove the zero: -13l + -2lx + 4xL = -3L Add '13l' to each side of the equation. -13l + -2lx + 13l + 4xL = -3L + 13l Reorder the terms: -13l + 13l + -2lx + 4xL = -3L + 13l Combine like terms: -13l + 13l = 0 0 + -2lx + 4xL = -3L + 13l -2lx + 4xL = -3L + 13l Add '2lx' to each side of the equation. -2lx + 2lx + 4xL = -3L + 13l + 2lx Combine like terms: -2lx + 2lx = 0 0 + 4xL = -3L + 13l + 2lx 4xL = -3L + 13l + 2lx Add '-4xL' to each side of the equation. 4xL + -4xL = -3L + 13l + 2lx + -4xL Combine like terms: 4xL + -4xL = 0 0 = -3L + 13l + 2lx + -4xL Simplifying 0 = -3L + 13l + 2lx + -4xL 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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