Question

If ${27}^n=81$, find $\frac{27}{4}\times n\frac{3n}{4}$

Answer 1

${27}^n=81⟹3^{3n}=3^4⟹3n=4⟹n=\frac{4}{3}$

$\frac{27}{4}\times n\times \frac{3n}{4}=\frac{27}{4}\times \frac{4}{3}\times \frac{3}{4}\times \frac{4}{3}=9$