Log(f-3)=log(17-4f)

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Solution for Log(f-3)=log(17-4f) equation: 


Simplifying
Log(f + -3) = log(17 + -4f)

Reorder the terms:
goL(-3 + f) = log(17 + -4f)
(-3 * goL + f * goL) = log(17 + -4f)

Reorder the terms:
(fgoL + -3goL) = log(17 + -4f)
(fgoL + -3goL) = log(17 + -4f)
fgoL + -3goL = (17 * glo + -4f * glo)

Reorder the terms:
fgoL + -3goL = (-4fglo + 17glo)
fgoL + -3goL = (-4fglo + 17glo)

Solving
fgoL + -3goL = -4fglo + 17glo

Solving for variable 'f'.

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

Add '4fglo' to each side of the equation.
fgoL + 4fglo + -3goL = -4fglo + 4fglo + 17glo

Reorder the terms:
4fglo + fgoL + -3goL = -4fglo + 4fglo + 17glo

Combine like terms: -4fglo + 4fglo = 0
4fglo + fgoL + -3goL = 0 + 17glo
4fglo + fgoL + -3goL = 17glo

Add '3goL' to each side of the equation.
4fglo + fgoL + -3goL + 3goL = 17glo + 3goL

Combine like terms: -3goL + 3goL = 0
4fglo + fgoL + 0 = 17glo + 3goL
4fglo + fgoL = 17glo + 3goL

Reorder the terms:
4fglo + fgoL + -17glo + -3goL = 17glo + -17glo + 3goL + -3goL

Combine like terms: 17glo + -17glo = 0
4fglo + fgoL + -17glo + -3goL = 0 + 3goL + -3goL
4fglo + fgoL + -17glo + -3goL = 3goL + -3goL

Combine like terms: 3goL + -3goL = 0
4fglo + fgoL + -17glo + -3goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(4fl + fL + -17l + -3L) = 0


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

Simplifying
go = 0

Solving
go = 0

Move all terms containing f 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 '(4fl + fL + -17l + -3L)' equal to zero and attempt to solve:

Simplifying
4fl + fL + -17l + -3L = 0

Reorder the terms:
-3L + fL + 4fl + -17l = 0

Solving
-3L + fL + 4fl + -17l = 0

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

Add '3L' to each side of the equation.
-3L + fL + 4fl + 3L + -17l = 0 + 3L

Reorder the terms:
-3L + 3L + fL + 4fl + -17l = 0 + 3L

Combine like terms: -3L + 3L = 0
0 + fL + 4fl + -17l = 0 + 3L
fL + 4fl + -17l = 0 + 3L
Remove the zero:
fL + 4fl + -17l = 3L

Add '17l' to each side of the equation.
fL + 4fl + -17l + 17l = 3L + 17l

Combine like terms: -17l + 17l = 0
fL + 4fl + 0 = 3L + 17l
fL + 4fl = 3L + 17l

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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