log(2)(2x+15)-log(2)(x-3)=log(2)(x+3)

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Solution for log(2)(2x+15)-log(2)(x-3)=log(2)(x+3) equation:


Simplifying
log(2)(2x + 15) + -1log(2)(x + -3) = log(2)(x + 3)

Reorder the terms:
glo * 2(15 + 2x) + -1log(2)(x + -3) = log(2)(x + 3)

Reorder the terms for easier multiplication:
2glo(15 + 2x) + -1log(2)(x + -3) = log(2)(x + 3)
(15 * 2glo + 2x * 2glo) + -1log(2)(x + -3) = log(2)(x + 3)
(30glo + 4glox) + -1log(2)(x + -3) = log(2)(x + 3)

Reorder the terms:
30glo + 4glox + -1glo * 2(-3 + x) = log(2)(x + 3)

Reorder the terms for easier multiplication:
30glo + 4glox + -1 * 2glo(-3 + x) = log(2)(x + 3)

Multiply -1 * 2
30glo + 4glox + -2glo(-3 + x) = log(2)(x + 3)
30glo + 4glox + (-3 * -2glo + x * -2glo) = log(2)(x + 3)
30glo + 4glox + (6glo + -2glox) = log(2)(x + 3)

Reorder the terms:
30glo + 6glo + 4glox + -2glox = log(2)(x + 3)

Combine like terms: 30glo + 6glo = 36glo
36glo + 4glox + -2glox = log(2)(x + 3)

Combine like terms: 4glox + -2glox = 2glox
36glo + 2glox = log(2)(x + 3)

Reorder the terms:
36glo + 2glox = glo * 2(3 + x)

Reorder the terms for easier multiplication:
36glo + 2glox = 2glo(3 + x)
36glo + 2glox = (3 * 2glo + x * 2glo)
36glo + 2glox = (6glo + 2glox)

Add '-2glox' to each side of the equation.
36glo + 2glox + -2glox = 6glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
36glo + 0 = 6glo + 2glox + -2glox
36glo = 6glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
36glo = 6glo + 0
36glo = 6glo

Solving
36glo = 6glo

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
36glo + -6glo = 6glo + -6glo

Combine like terms: 36glo + -6glo = 30glo
30glo = 6glo + -6glo

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

Divide each side by '30'.
glo = 0.0

Simplifying
glo = 0.0

The solution to this equation could not be determined.

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