2log[2](m+15)-log[2]m=6

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Solution for 2log[2](m+15)-log[2]m=6 equation:


Simplifying
2log[2](m + 15) + -1log[2] * m = 6

Reorder the terms:
2glo * 2(15 + m) + -1log[2] * m = 6

Reorder the terms for easier multiplication:
2 * 2glo(15 + m) + -1log[2] * m = 6

Multiply 2 * 2
4glo(15 + m) + -1log[2] * m = 6
(15 * 4glo + m * 4glo) + -1log[2] * m = 6

Reorder the terms:
(4glmo + 60glo) + -1log[2] * m = 6
(4glmo + 60glo) + -1log[2] * m = 6

Reorder the terms for easier multiplication:
4glmo + 60glo + -1 * 2glo * m = 6

Multiply -1 * 2
4glmo + 60glo + -2glo * m = 6

Multiply glo * m
4glmo + 60glo + -2glmo = 6

Reorder the terms:
4glmo + -2glmo + 60glo = 6

Combine like terms: 4glmo + -2glmo = 2glmo
2glmo + 60glo = 6

Solving
2glmo + 60glo = 6

Solving for variable 'g'.

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

Reorder the terms:
-6 + 2glmo + 60glo = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 2glmo + 60glo = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + glmo + 30glo) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + glmo + 30glo)' equal to zero and attempt to solve: Simplifying -3 + glmo + 30glo = 0 Solving -3 + glmo + 30glo = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + glmo + 3 + 30glo = 0 + 3 Reorder the terms: -3 + 3 + glmo + 30glo = 0 + 3 Combine like terms: -3 + 3 = 0 0 + glmo + 30glo = 0 + 3 glmo + 30glo = 0 + 3 Combine like terms: 0 + 3 = 3 glmo + 30glo = 3 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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