log(2)(3)+log(2)(a)=log(2)(14)

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Solution for log(2)(3)+log(2)(a)=log(2)(14) equation:


Simplifying
log(2)(3) + log(2)(a) = log(2)(14)

Reorder the terms for easier multiplication:
2 * 3glo + log(2)(a) = log(2)(14)

Multiply 2 * 3
6glo + log(2)(a) = log(2)(14)

Reorder the terms for easier multiplication:
6glo + 2glo * a = log(2)(14)

Multiply glo * a
6glo + 2aglo = log(2)(14)

Reorder the terms:
2aglo + 6glo = log(2)(14)

Reorder the terms for easier multiplication:
2aglo + 6glo = 2 * 14glo

Multiply 2 * 14
2aglo + 6glo = 28glo

Solving
2aglo + 6glo = 28glo

Solving for variable 'a'.

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

Add '-6glo' to each side of the equation.
2aglo + 6glo + -6glo = 28glo + -6glo

Combine like terms: 6glo + -6glo = 0
2aglo + 0 = 28glo + -6glo
2aglo = 28glo + -6glo

Combine like terms: 28glo + -6glo = 22glo
2aglo = 22glo

Divide each side by '2glo'.
a = 11

Simplifying
a = 11

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