log(x+9)-log(5x)=

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


Simplifying
log(x + 9) + -1log(5x) = 0

Reorder the terms:
glo(9 + x) + -1log(5x) = 0
(9 * glo + x * glo) + -1log(5x) = 0
(9glo + glox) + -1log(5x) = 0

Remove parenthesis around (5x)
9glo + glox + -1glo * 5x = 0

Reorder the terms for easier multiplication:
9glo + glox + -1 * 5glo * x = 0

Multiply -1 * 5
9glo + glox + -5glo * x = 0

Multiply glo * x
9glo + glox + -5glox = 0

Combine like terms: glox + -5glox = -4glox
9glo + -4glox = 0

Solving
9glo + -4glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(9 + -4x) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Add '4x' to each side of the equation.
-4x + 4x = -9 + 4x

Combine like terms: -4x + 4x = 0
0 = -9 + 4x

Simplifying
0 = -9 + 4x

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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