Log(4w+8)=log(2w-9)

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Solution for Log(4w+8)=log(2w-9) equation: 


Simplifying
Log(4w + 8) = log(2w + -9)

Reorder the terms:
goL(8 + 4w) = log(2w + -9)
(8 * goL + 4w * goL) = log(2w + -9)
(8goL + 4gowL) = log(2w + -9)

Reorder the terms:
8goL + 4gowL = glo(-9 + 2w)
8goL + 4gowL = (-9 * glo + 2w * glo)
8goL + 4gowL = (-9glo + 2glow)

Solving
8goL + 4gowL = -9glo + 2glow

Solving for variable 'g'.

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

Add '9glo' to each side of the equation.
8goL + 9glo + 4gowL = -9glo + 9glo + 2glow

Reorder the terms:
9glo + 8goL + 4gowL = -9glo + 9glo + 2glow

Combine like terms: -9glo + 9glo = 0
9glo + 8goL + 4gowL = 0 + 2glow
9glo + 8goL + 4gowL = 2glow

Add '-2glow' to each side of the equation.
9glo + 8goL + -2glow + 4gowL = 2glow + -2glow

Reorder the terms:
9glo + -2glow + 8goL + 4gowL = 2glow + -2glow

Combine like terms: 2glow + -2glow = 0
9glo + -2glow + 8goL + 4gowL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(9l + -2lw + 8L + 4wL) = 0


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

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(9l + -2lw + 8L + 4wL)' equal to zero and attempt to solve:

Simplifying
9l + -2lw + 8L + 4wL = 0

Reorder the terms:
8L + 9l + -2lw + 4wL = 0

Solving
8L + 9l + -2lw + 4wL = 0

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

Add '-8L' to each side of the equation.
8L + 9l + -2lw + -8L + 4wL = 0 + -8L

Reorder the terms:
8L + -8L + 9l + -2lw + 4wL = 0 + -8L

Combine like terms: 8L + -8L = 0
0 + 9l + -2lw + 4wL = 0 + -8L
9l + -2lw + 4wL = 0 + -8L
Remove the zero:
9l + -2lw + 4wL = -8L

Add '-9l' to each side of the equation.
9l + -2lw + -9l + 4wL = -8L + -9l

Reorder the terms:
9l + -9l + -2lw + 4wL = -8L + -9l

Combine like terms: 9l + -9l = 0
0 + -2lw + 4wL = -8L + -9l
-2lw + 4wL = -8L + -9l

Add '2lw' to each side of the equation.
-2lw + 2lw + 4wL = -8L + -9l + 2lw

Combine like terms: -2lw + 2lw = 0
0 + 4wL = -8L + -9l + 2lw
4wL = -8L + -9l + 2lw

Add '-4wL' to each side of the equation.
4wL + -4wL = -8L + -9l + 2lw + -4wL

Combine like terms: 4wL + -4wL = 0
0 = -8L + -9l + 2lw + -4wL

Simplifying
0 = -8L + -9l + 2lw + -4wL

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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