logb(y^3)=-logb(2y)

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Solution for logb(y^3)=-logb(2y) equation:


Simplifying
logb(y3) = -1logb(2y)

Multiply bglo * y3
bgloy3 = -1logb(2y)

Remove parenthesis around (2y)
bgloy3 = -1bglo * 2y

Reorder the terms for easier multiplication:
bgloy3 = -1 * 2bglo * y

Multiply -1 * 2
bgloy3 = -2bglo * y

Multiply bglo * y
bgloy3 = -2bgloy

Solving
bgloy3 = -2bgloy

Solving for variable 'b'.

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

Add '2bgloy' to each side of the equation.
2bgloy + bgloy3 = -2bgloy + 2bgloy

Combine like terms: -2bgloy + 2bgloy = 0
2bgloy + bgloy3 = 0

Factor out the Greatest Common Factor (GCF), 'bgloy'.
bgloy(2 + y2) = 0

Subproblem 1

Set the factor 'bgloy' equal to zero and attempt to solve: Simplifying bgloy = 0 Solving bgloy = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bgloy = 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 '(2 + y2)' equal to zero and attempt to solve: Simplifying 2 + y2 = 0 Solving 2 + y2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y2 = 0 + -2 y2 = 0 + -2 Combine like terms: 0 + -2 = -2 y2 = -2 Add '-1y2' to each side of the equation. y2 + -1y2 = -2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -2 + -1y2 Simplifying 0 = -2 + -1y2 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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