log^5(x+18)-log^5(x+4)=log^5(x)

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Solution for log^5(x+18)-log^5(x+4)=log^5(x) equation: 


Simplifying
log5(x + 18) + -1log5(x + 4) = log5(x)

Reorder the terms:
g5lo(18 + x) + -1log5(x + 4) = log5(x)
(18 * g5lo + x * g5lo) + -1log5(x + 4) = log5(x)
(18g5lo + g5lox) + -1log5(x + 4) = log5(x)

Reorder the terms:
18g5lo + g5lox + -1g5lo(4 + x) = log5(x)
18g5lo + g5lox + (4 * -1g5lo + x * -1g5lo) = log5(x)
18g5lo + g5lox + (-4g5lo + -1g5lox) = log5(x)

Reorder the terms:
18g5lo + -4g5lo + g5lox + -1g5lox = log5(x)

Combine like terms: 18g5lo + -4g5lo = 14g5lo
14g5lo + g5lox + -1g5lox = log5(x)

Combine like terms: g5lox + -1g5lox = 0
14g5lo + 0 = log5(x)
14g5lo = log5(x)

Multiply g5lo * x
14g5lo = g5lox

Solving
14g5lo = g5lox

Solving for variable 'g'.

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

Add '-1g5lox' to each side of the equation.
14g5lo + -1g5lox = g5lox + -1g5lox

Combine like terms: g5lox + -1g5lox = 0
14g5lo + -1g5lox = 0

Factor out the Greatest Common Factor (GCF), 'g5lo'.
g5lo(14 + -1x) = 0


Subproblem 1
Set the factor 'g5lo' equal to zero and attempt to solve:

Simplifying
g5lo = 0

Solving
g5lo = 0

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

Simplifying
g5lo = 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 '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Add 'x' to each side of the equation.
-1x + x = -14 + x

Combine like terms: -1x + x = 0
0 = -14 + x

Simplifying
0 = -14 + x

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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