logb(x)+logb(x-4)=logb(21)

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Solution for logb(x)+logb(x-4)=logb(21) equation: 


Simplifying
logb(x) + logb(x + -4) = logb(21)

Multiply bglo * x
bglox + logb(x + -4) = logb(21)

Reorder the terms:
bglox + bglo(-4 + x) = logb(21)
bglox + (-4 * bglo + x * bglo) = logb(21)
bglox + (-4bglo + bglox) = logb(21)

Reorder the terms:
-4bglo + bglox + bglox = logb(21)

Combine like terms: bglox + bglox = 2bglox
-4bglo + 2bglox = logb(21)

Reorder the terms for easier multiplication:
-4bglo + 2bglox = 21bglo

Solving
-4bglo + 2bglox = 21bglo

Solving for variable 'b'.

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

Add '-21bglo' to each side of the equation.
-4bglo + -21bglo + 2bglox = 21bglo + -21bglo

Combine like terms: -4bglo + -21bglo = -25bglo
-25bglo + 2bglox = 21bglo + -21bglo

Combine like terms: 21bglo + -21bglo = 0
-25bglo + 2bglox = 0

Factor out the Greatest Common Factor (GCF), 'bglo'.
bglo(-25 + 2x) = 0


Subproblem 1
Set the factor 'bglo' equal to zero and attempt to solve:

Simplifying
bglo = 0

Solving
bglo = 0

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

Simplifying
bglo = 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 '(-25 + 2x)' equal to zero and attempt to solve:

Simplifying
-25 + 2x = 0

Solving
-25 + 2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 0 + 25
2x = 0 + 25

Combine like terms: 0 + 25 = 25
2x = 25

Add '-2x' to each side of the equation.
2x + -2x = 25 + -2x

Combine like terms: 2x + -2x = 0
0 = 25 + -2x

Simplifying
0 = 25 + -2x

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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