10=2log(x+4)

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Solution for 10=2log(x+4) equation:


Simplifying
10 = 2log(x + 4)

Reorder the terms:
10 = 2glo(4 + x)
10 = (4 * 2glo + x * 2glo)
10 = (8glo + 2glox)

Solving
10 = 8glo + 2glox

Solving for variable 'g'.

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

Add '-8glo' to each side of the equation.
10 + -8glo = 8glo + -8glo + 2glox

Combine like terms: 8glo + -8glo = 0
10 + -8glo = 0 + 2glox
10 + -8glo = 2glox

Add '-2glox' to each side of the equation.
10 + -8glo + -2glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
10 + -8glo + -2glox = 0

Add '-10' to each side of the equation.
10 + -8glo + -10 + -2glox = 0 + -10

Reorder the terms:
10 + -10 + -8glo + -2glox = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -8glo + -2glox = 0 + -10
-8glo + -2glox = 0 + -10

Combine like terms: 0 + -10 = -10
-8glo + -2glox = -10

Reorder the terms:
10 + -8glo + -2glox = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -8glo + -2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4glo + -1glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -4glo + -1glox)' equal to zero and attempt to solve: Simplifying 5 + -4glo + -1glox = 0 Solving 5 + -4glo + -1glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4glo + -5 + -1glox = 0 + -5 Reorder the terms: 5 + -5 + -4glo + -1glox = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4glo + -1glox = 0 + -5 -4glo + -1glox = 0 + -5 Combine like terms: 0 + -5 = -5 -4glo + -1glox = -5 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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