xlog(4)-log(5)=log(11)

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Solution for xlog(4)-log(5)=log(11) equation: 


Simplifying
xlog(4) + -1log(5) = log(11)

Reorder the terms for easier multiplication:
4glox + -1log(5) = log(11)

Reorder the terms for easier multiplication:
4glox + -1 * 5glo = log(11)

Multiply -1 * 5
4glox + -5glo = log(11)

Reorder the terms:
-5glo + 4glox = log(11)

Reorder the terms for easier multiplication:
-5glo + 4glox = 11glo

Solving
-5glo + 4glox = 11glo

Solving for variable 'g'.

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

Add '-11glo' to each side of the equation.
-5glo + -11glo + 4glox = 11glo + -11glo

Combine like terms: -5glo + -11glo = -16glo
-16glo + 4glox = 11glo + -11glo

Combine like terms: 11glo + -11glo = 0
-16glo + 4glox = 0

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

Ignore the factor 4.

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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

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

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

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

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -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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