4log(x+5)-6=-4

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Solution for 4log(x+5)-6=-4 equation:


Simplifying
4log(x + 5) + -6 = -4

Reorder the terms:
4glo(5 + x) + -6 = -4
(5 * 4glo + x * 4glo) + -6 = -4
(20glo + 4glox) + -6 = -4

Reorder the terms:
-6 + 20glo + 4glox = -4

Solving
-6 + 20glo + 4glox = -4

Solving for variable 'g'.

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

Add '6' to each side of the equation.
-6 + 20glo + 6 + 4glox = -4 + 6

Reorder the terms:
-6 + 6 + 20glo + 4glox = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 20glo + 4glox = -4 + 6
20glo + 4glox = -4 + 6

Combine like terms: -4 + 6 = 2
20glo + 4glox = 2

Reorder the terms:
-2 + 20glo + 4glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 20glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 10glo + 2glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 10glo + 2glox)' equal to zero and attempt to solve: Simplifying -1 + 10glo + 2glox = 0 Solving -1 + 10glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10glo + 1 + 2glox = 0 + 1 Reorder the terms: -1 + 1 + 10glo + 2glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10glo + 2glox = 0 + 1 10glo + 2glox = 0 + 1 Combine like terms: 0 + 1 = 1 10glo + 2glox = 1 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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