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

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

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

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

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

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

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

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

Solving
18bglo = -4bglov + b2glo

Solving for variable 'b'.

Reorder the terms:
18bglo + 4bglov + -1b2glo = -4bglov + 4bglov + b2glo + -1b2glo

Combine like terms: -4bglov + 4bglov = 0
18bglo + 4bglov + -1b2glo = 0 + b2glo + -1b2glo
18bglo + 4bglov + -1b2glo = b2glo + -1b2glo

Combine like terms: b2glo + -1b2glo = 0
18bglo + 4bglov + -1b2glo = 0

Factor out the Greatest Common Factor (GCF), 'bglo'.
bglo(18 + 4v + -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 '(18 + 4v + -1b)' equal to zero and attempt to solve:

Simplifying
18 + 4v + -1b = 0

Reorder the terms:
18 + -1b + 4v = 0

Solving
18 + -1b + 4v = 0

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

Add '-18' to each side of the equation.
18 + -1b + -18 + 4v = 0 + -18

Reorder the terms:
18 + -18 + -1b + 4v = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1b + 4v = 0 + -18
-1b + 4v = 0 + -18

Combine like terms: 0 + -18 = -18
-1b + 4v = -18

Add '-4v' to each side of the equation.
-1b + 4v + -4v = -18 + -4v

Combine like terms: 4v + -4v = 0
-1b + 0 = -18 + -4v
-1b = -18 + -4v

Divide each side by '-1'.
b = 18 + 4v

Simplifying
b = 18 + 4v
Solution
b = {18 + 4v}