log(2)4x=log(2)(x+15)

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Solution for log(2)4x=log(2)(x+15) equation:


Simplifying
log(2) * 4x = log(2)(x + 15)

Reorder the terms for easier multiplication:
2 * 4glo * x = log(2)(x + 15)

Multiply 2 * 4
8glo * x = log(2)(x + 15)

Multiply glo * x
8glox = log(2)(x + 15)

Reorder the terms:
8glox = glo * 2(15 + x)

Reorder the terms for easier multiplication:
8glox = 2glo(15 + x)
8glox = (15 * 2glo + x * 2glo)
8glox = (30glo + 2glox)

Solving
8glox = 30glo + 2glox

Solving for variable 'g'.

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

Add '-30glo' to each side of the equation.
-30glo + 8glox = 30glo + -30glo + 2glox

Combine like terms: 30glo + -30glo = 0
-30glo + 8glox = 0 + 2glox
-30glo + 8glox = 2glox

Add '-2glox' to each side of the equation.
-30glo + 8glox + -2glox = 2glox + -2glox

Combine like terms: 8glox + -2glox = 6glox
-30glo + 6glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-30glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '6glo'.
6glo(-5 + x) = 0

Ignore the factor 6.

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