Log(-2b-6)=log(6-b)

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Solution for Log(-2b-6)=log(6-b) equation:


Simplifying
Log(-2b + -6) = log(6 + -1b)

Reorder the terms:
goL(-6 + -2b) = log(6 + -1b)
(-6 * goL + -2b * goL) = log(6 + -1b)

Reorder the terms:
(-2bgoL + -6goL) = log(6 + -1b)
(-2bgoL + -6goL) = log(6 + -1b)
-2bgoL + -6goL = (6 * glo + -1b * glo)

Reorder the terms:
-2bgoL + -6goL = (-1bglo + 6glo)
-2bgoL + -6goL = (-1bglo + 6glo)

Solving
-2bgoL + -6goL = -1bglo + 6glo

Solving for variable 'b'.

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

Add 'bglo' to each side of the equation.
-2bgoL + bglo + -6goL = -1bglo + bglo + 6glo

Reorder the terms:
bglo + -2bgoL + -6goL = -1bglo + bglo + 6glo

Combine like terms: -1bglo + bglo = 0
bglo + -2bgoL + -6goL = 0 + 6glo
bglo + -2bgoL + -6goL = 6glo

Add '6goL' to each side of the equation.
bglo + -2bgoL + -6goL + 6goL = 6glo + 6goL

Combine like terms: -6goL + 6goL = 0
bglo + -2bgoL + 0 = 6glo + 6goL
bglo + -2bgoL = 6glo + 6goL

Reorder the terms:
bglo + -2bgoL + -6glo + -6goL = 6glo + -6glo + 6goL + -6goL

Combine like terms: 6glo + -6glo = 0
bglo + -2bgoL + -6glo + -6goL = 0 + 6goL + -6goL
bglo + -2bgoL + -6glo + -6goL = 6goL + -6goL

Combine like terms: 6goL + -6goL = 0
bglo + -2bgoL + -6glo + -6goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(bl + -2bL + -6l + -6L) = 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 '(bl + -2bL + -6l + -6L)' equal to zero and attempt to solve: Simplifying bl + -2bL + -6l + -6L = 0 Reorder the terms: -6L + -2bL + bl + -6l = 0 Solving -6L + -2bL + bl + -6l = 0 Move all terms containing b to the left, all other terms to the right. Add '6L' to each side of the equation. -6L + -2bL + bl + 6L + -6l = 0 + 6L Reorder the terms: -6L + 6L + -2bL + bl + -6l = 0 + 6L Combine like terms: -6L + 6L = 0 0 + -2bL + bl + -6l = 0 + 6L -2bL + bl + -6l = 0 + 6L Remove the zero: -2bL + bl + -6l = 6L Add '6l' to each side of the equation. -2bL + bl + -6l + 6l = 6L + 6l Combine like terms: -6l + 6l = 0 -2bL + bl + 0 = 6L + 6l -2bL + bl = 6L + 6l 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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