Log(8)(3x+5)=log(8)(3x+8)

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Solution for Log(8)(3x+5)=log(8)(3x+8) equation:


Simplifying
Log(8)(3x + 5) = log(8)(3x + 8)

Reorder the terms:
goL * 8(5 + 3x) = log(8)(3x + 8)

Reorder the terms for easier multiplication:
8goL(5 + 3x) = log(8)(3x + 8)
(5 * 8goL + 3x * 8goL) = log(8)(3x + 8)
(40goL + 24goxL) = log(8)(3x + 8)

Reorder the terms:
40goL + 24goxL = glo * 8(8 + 3x)

Reorder the terms for easier multiplication:
40goL + 24goxL = 8glo(8 + 3x)
40goL + 24goxL = (8 * 8glo + 3x * 8glo)
40goL + 24goxL = (64glo + 24glox)

Solving
40goL + 24goxL = 64glo + 24glox

Solving for variable 'g'.

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

Add '-64glo' to each side of the equation.
40goL + -64glo + 24goxL = 64glo + -64glo + 24glox

Reorder the terms:
-64glo + 40goL + 24goxL = 64glo + -64glo + 24glox

Combine like terms: 64glo + -64glo = 0
-64glo + 40goL + 24goxL = 0 + 24glox
-64glo + 40goL + 24goxL = 24glox

Add '-24glox' to each side of the equation.
-64glo + 40goL + -24glox + 24goxL = 24glox + -24glox

Reorder the terms:
-64glo + -24glox + 40goL + 24goxL = 24glox + -24glox

Combine like terms: 24glox + -24glox = 0
-64glo + -24glox + 40goL + 24goxL = 0

Factor out the Greatest Common Factor (GCF), '8go'.
8go(-8l + -3lx + 5L + 3xL) = 0

Ignore the factor 8.

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 '(-8l + -3lx + 5L + 3xL)' equal to zero and attempt to solve: Simplifying -8l + -3lx + 5L + 3xL = 0 Reorder the terms: 5L + -8l + -3lx + 3xL = 0 Solving 5L + -8l + -3lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -8l + -3lx + -5L + 3xL = 0 + -5L Reorder the terms: 5L + -5L + -8l + -3lx + 3xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -8l + -3lx + 3xL = 0 + -5L -8l + -3lx + 3xL = 0 + -5L Remove the zero: -8l + -3lx + 3xL = -5L Add '8l' to each side of the equation. -8l + -3lx + 8l + 3xL = -5L + 8l Reorder the terms: -8l + 8l + -3lx + 3xL = -5L + 8l Combine like terms: -8l + 8l = 0 0 + -3lx + 3xL = -5L + 8l -3lx + 3xL = -5L + 8l Add '3lx' to each side of the equation. -3lx + 3lx + 3xL = -5L + 8l + 3lx Combine like terms: -3lx + 3lx = 0 0 + 3xL = -5L + 8l + 3lx 3xL = -5L + 8l + 3lx Add '-3xL' to each side of the equation. 3xL + -3xL = -5L + 8l + 3lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = -5L + 8l + 3lx + -3xL Simplifying 0 = -5L + 8l + 3lx + -3xL 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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