Log(4*k-5)=log(2*k-5)

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Solution for Log(4*k-5)=log(2*k-5) equation: 


Simplifying
Log(4k + -5) = log(2k + -5)

Reorder the terms:
goL(-5 + 4k) = log(2k + -5)
(-5 * goL + 4k * goL) = log(2k + -5)

Reorder the terms:
(4gkoL + -5goL) = log(2k + -5)
(4gkoL + -5goL) = log(2k + -5)

Reorder the terms:
4gkoL + -5goL = glo(-5 + 2k)
4gkoL + -5goL = (-5 * glo + 2k * glo)

Reorder the terms:
4gkoL + -5goL = (2gklo + -5glo)
4gkoL + -5goL = (2gklo + -5glo)

Solving
4gkoL + -5goL = 2gklo + -5glo

Solving for variable 'g'.

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

Add '-2gklo' to each side of the equation.
4gkoL + -2gklo + -5goL = 2gklo + -2gklo + -5glo

Reorder the terms:
-2gklo + 4gkoL + -5goL = 2gklo + -2gklo + -5glo

Combine like terms: 2gklo + -2gklo = 0
-2gklo + 4gkoL + -5goL = 0 + -5glo
-2gklo + 4gkoL + -5goL = -5glo

Add '5glo' to each side of the equation.
-2gklo + 4gkoL + 5glo + -5goL = -5glo + 5glo

Combine like terms: -5glo + 5glo = 0
-2gklo + 4gkoL + 5glo + -5goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-2kl + 4kL + 5l + -5L) = 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 '(-2kl + 4kL + 5l + -5L)' equal to zero and attempt to solve:

Simplifying
-2kl + 4kL + 5l + -5L = 0

Reorder the terms:
-5L + 4kL + -2kl + 5l = 0

Solving
-5L + 4kL + -2kl + 5l = 0

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

Add '5L' to each side of the equation.
-5L + 4kL + -2kl + 5L + 5l = 0 + 5L

Reorder the terms:
-5L + 5L + 4kL + -2kl + 5l = 0 + 5L

Combine like terms: -5L + 5L = 0
0 + 4kL + -2kl + 5l = 0 + 5L
4kL + -2kl + 5l = 0 + 5L
Remove the zero:
4kL + -2kl + 5l = 5L

Add '-4kL' to each side of the equation.
4kL + -2kl + -4kL + 5l = 5L + -4kL

Reorder the terms:
4kL + -4kL + -2kl + 5l = 5L + -4kL

Combine like terms: 4kL + -4kL = 0
0 + -2kl + 5l = 5L + -4kL
-2kl + 5l = 5L + -4kL

Add '2kl' to each side of the equation.
-2kl + 2kl + 5l = 5L + -4kL + 2kl

Combine like terms: -2kl + 2kl = 0
0 + 5l = 5L + -4kL + 2kl
5l = 5L + -4kL + 2kl

Add '-5l' to each side of the equation.
5l + -5l = 5L + -4kL + 2kl + -5l

Combine like terms: 5l + -5l = 0
0 = 5L + -4kL + 2kl + -5l

Simplifying
0 = 5L + -4kL + 2kl + -5l

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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