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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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