Log(9)-log(x-5)=log(45)

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Solution for Log(9)-log(x-5)=log(45) equation: 


Simplifying
Log(9) + -1log(x + -5) = log(45)

Reorder the terms for easier multiplication:
9goL + -1log(x + -5) = log(45)

Reorder the terms:
9goL + -1glo(-5 + x) = log(45)
9goL + (-5 * -1glo + x * -1glo) = log(45)
9goL + (5glo + -1glox) = log(45)

Reorder the terms:
5glo + -1glox + 9goL = log(45)

Reorder the terms for easier multiplication:
5glo + -1glox + 9goL = 45glo

Solving
5glo + -1glox + 9goL = 45glo

Solving for variable 'g'.

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

Add '-45glo' to each side of the equation.
5glo + -1glox + -45glo + 9goL = 45glo + -45glo

Reorder the terms:
5glo + -45glo + -1glox + 9goL = 45glo + -45glo

Combine like terms: 5glo + -45glo = -40glo
-40glo + -1glox + 9goL = 45glo + -45glo

Combine like terms: 45glo + -45glo = 0
-40glo + -1glox + 9goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-40l + -1lx + 9L) = 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 '(-40l + -1lx + 9L)' equal to zero and attempt to solve:

Simplifying
-40l + -1lx + 9L = 0

Reorder the terms:
9L + -40l + -1lx = 0

Solving
9L + -40l + -1lx = 0

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

Add '-9L' to each side of the equation.
9L + -40l + -9L + -1lx = 0 + -9L

Reorder the terms:
9L + -9L + -40l + -1lx = 0 + -9L

Combine like terms: 9L + -9L = 0
0 + -40l + -1lx = 0 + -9L
-40l + -1lx = 0 + -9L
Remove the zero:
-40l + -1lx = -9L

Add '40l' to each side of the equation.
-40l + 40l + -1lx = -9L + 40l

Combine like terms: -40l + 40l = 0
0 + -1lx = -9L + 40l
-1lx = -9L + 40l

Add 'lx' to each side of the equation.
-1lx + lx = -9L + 40l + lx

Combine like terms: -1lx + lx = 0
0 = -9L + 40l + lx

Simplifying
0 = -9L + 40l + lx

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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