log(17)+log(19x+4)=log(19)

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Solution for log(17)+log(19x+4)=log(19) equation: 


Simplifying
log(17) + log(19x + 4) = log(19)

Reorder the terms for easier multiplication:
17glo + log(19x + 4) = log(19)

Reorder the terms:
17glo + glo(4 + 19x) = log(19)
17glo + (4 * glo + 19x * glo) = log(19)
17glo + (4glo + 19glox) = log(19)

Combine like terms: 17glo + 4glo = 21glo
21glo + 19glox = log(19)

Reorder the terms for easier multiplication:
21glo + 19glox = 19glo

Solving
21glo + 19glox = 19glo

Solving for variable 'g'.

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

Add '-19glo' to each side of the equation.
21glo + -19glo + 19glox = 19glo + -19glo

Combine like terms: 21glo + -19glo = 2glo
2glo + 19glox = 19glo + -19glo

Combine like terms: 19glo + -19glo = 0
2glo + 19glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(2 + 19x) = 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 '(2 + 19x)' equal to zero and attempt to solve:

Simplifying
2 + 19x = 0

Solving
2 + 19x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 19x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 19x = 0 + -2
19x = 0 + -2

Combine like terms: 0 + -2 = -2
19x = -2

Add '-19x' to each side of the equation.
19x + -19x = -2 + -19x

Combine like terms: 19x + -19x = 0
0 = -2 + -19x

Simplifying
0 = -2 + -19x

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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