log(x)+log(5)=log(4)

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


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

Multiply glo * x
glox + log(5) = log(4)

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

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

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

Solving
5glo + glox = 4glo

Solving for variable 'g'.

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

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

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

Combine like terms: 4glo + -4glo = 0
1glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

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

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

Simplifying
0 = -1 + -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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