log(16b+2b)=log(b^2-4b)

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Solution for log(16b+2b)=log(b^2-4b) equation: 


Simplifying
log(16b + 2b) = log(b2 + -4b)

Combine like terms: 16b + 2b = 18b
glo(18b) = log(b2 + -4b)

Remove parenthesis around (18b)
glo * 18b = log(b2 + -4b)

Reorder the terms for easier multiplication:
18glo * b = log(b2 + -4b)

Multiply glo * b
18bglo = log(b2 + -4b)

Reorder the terms:
18bglo = glo(-4b + b2)
18bglo = (-4b * glo + b2 * glo)
18bglo = (-4bglo + b2glo)

Solving
18bglo = -4bglo + b2glo

Solving for variable 'b'.

Combine like terms: 18bglo + 4bglo = 22bglo
22bglo + -1b2glo = -4bglo + b2glo + 4bglo + -1b2glo

Reorder the terms:
22bglo + -1b2glo = -4bglo + 4bglo + b2glo + -1b2glo

Combine like terms: -4bglo + 4bglo = 0
22bglo + -1b2glo = 0 + b2glo + -1b2glo
22bglo + -1b2glo = b2glo + -1b2glo

Combine like terms: b2glo + -1b2glo = 0
22bglo + -1b2glo = 0

Factor out the Greatest Common Factor (GCF), 'bglo'.
bglo(22 + -1b) = 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 '(22 + -1b)' equal to zero and attempt to solve:

Simplifying
22 + -1b = 0

Solving
22 + -1b = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1b = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1b = 0 + -22
-1b = 0 + -22

Combine like terms: 0 + -22 = -22
-1b = -22

Divide each side by '-1'.
b = 22

Simplifying
b = 22
Solution
b = {22}

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