log(4x-9)=log(5x)

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Solution for log(4x-9)=log(5x) equation: 


Simplifying
log(4x + -9) = log(5x)

Reorder the terms:
glo(-9 + 4x) = log(5x)
(-9 * glo + 4x * glo) = log(5x)
(-9glo + 4glox) = log(5x)

Remove parenthesis around (5x)
-9glo + 4glox = glo * 5x

Reorder the terms for easier multiplication:
-9glo + 4glox = 5glo * x

Multiply glo * x
-9glo + 4glox = 5glox

Solving
-9glo + 4glox = 5glox

Solving for variable 'g'.

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

Add '-5glox' to each side of the equation.
-9glo + 4glox + -5glox = 5glox + -5glox

Combine like terms: 4glox + -5glox = -1glox
-9glo + -1glox = 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-9glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), '-1glo'.
-1glo(9 + x) = 0

Ignore the factor -1.

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 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Add '-1x' to each side of the equation.
x + -1x = -9 + -1x

Combine like terms: x + -1x = 0
0 = -9 + -1x

Simplifying
0 = -9 + -1x

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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