2log(4n+8)+7=11

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Solution for 2log(4n+8)+7=11 equation:


Simplifying
2log(4n + 8) + 7 = 11

Reorder the terms:
2glo(8 + 4n) + 7 = 11
(8 * 2glo + 4n * 2glo) + 7 = 11

Reorder the terms:
(8glno + 16glo) + 7 = 11
(8glno + 16glo) + 7 = 11

Reorder the terms:
7 + 8glno + 16glo = 11

Solving
7 + 8glno + 16glo = 11

Solving for variable 'g'.

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

Add '-7' to each side of the equation.
7 + 8glno + -7 + 16glo = 11 + -7

Reorder the terms:
7 + -7 + 8glno + 16glo = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 8glno + 16glo = 11 + -7
8glno + 16glo = 11 + -7

Combine like terms: 11 + -7 = 4
8glno + 16glo = 4

Reorder the terms:
-4 + 8glno + 16glo = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 8glno + 16glo = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + 2glno + 4glo)' equal to zero and attempt to solve: Simplifying -1 + 2glno + 4glo = 0 Solving -1 + 2glno + 4glo = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glno + 1 + 4glo = 0 + 1 Reorder the terms: -1 + 1 + 2glno + 4glo = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glno + 4glo = 0 + 1 2glno + 4glo = 0 + 1 Combine like terms: 0 + 1 = 1 2glno + 4glo = 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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