Log(2b-8)=log(b)

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Solution for Log(2b-8)=log(b) equation:


Simplifying
Log(2b + -8) = log(b)

Reorder the terms:
goL(-8 + 2b) = log(b)
(-8 * goL + 2b * goL) = log(b)

Reorder the terms:
(2bgoL + -8goL) = log(b)
(2bgoL + -8goL) = log(b)

Multiply glo * b
2bgoL + -8goL = bglo

Solving
2bgoL + -8goL = bglo

Solving for variable 'b'.

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

Add '-1bglo' to each side of the equation.
2bgoL + -1bglo + -8goL = bglo + -1bglo

Reorder the terms:
-1bglo + 2bgoL + -8goL = bglo + -1bglo

Combine like terms: bglo + -1bglo = 0
-1bglo + 2bgoL + -8goL = 0

Add '8goL' to each side of the equation.
-1bglo + 2bgoL + -8goL + 8goL = 0 + 8goL

Combine like terms: -8goL + 8goL = 0
-1bglo + 2bgoL + 0 = 0 + 8goL
-1bglo + 2bgoL = 0 + 8goL
Remove the zero:
-1bglo + 2bgoL = 8goL

Combine like terms: 8goL + -8goL = 0
-1bglo + 2bgoL + -8goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-1bl + 2bL + -8L) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing b to the left, all other terms to the right. Add '-1go' to each side of the equation. go + -1go = 0 + -1go Remove the zero: 0 = -1go Simplifying 0 = -1go 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 '(-1bl + 2bL + -8L)' equal to zero and attempt to solve: Simplifying -1bl + 2bL + -8L = 0 Reorder the terms: -8L + 2bL + -1bl = 0 Solving -8L + 2bL + -1bl = 0 Move all terms containing b to the left, all other terms to the right. Add '8L' to each side of the equation. -8L + 2bL + 8L + -1bl = 0 + 8L Reorder the terms: -8L + 8L + 2bL + -1bl = 0 + 8L Combine like terms: -8L + 8L = 0 0 + 2bL + -1bl = 0 + 8L 2bL + -1bl = 0 + 8L Remove the zero: 2bL + -1bl = 8L 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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