Question

${2}^{x} = 6 \frac{1}{2}$
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Answer 1

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$\Large\boxed{\begin{array}{l}\sf 2^x=6\dfrac{1}{2}\\\sf 2^x=\dfrac{13}{2}\\\sf x=\ell og_2\bigg(\dfrac{13}{2}\bigg)\\\sf x=\ell og_213-\ell og_22\\\sf x=\ell og_213-1\end{array}}$