You are given: $$2^p=3,\qquad2^q=5.$$ Without finding decimal values of $p$ or $q$: Express \(72

Question

You are given: $$2^p=3,\qquad2^q=5.$$ Without finding decimal values of $p$ or $q$: Express $72$ as a power of $2$ in terms of $p$. Express $45$ as a power of $2$ in terms of $p$ and $q$. Evaluate $\dfrac{8^p}{4^q}$.

Accepted Answer

(a) $2^{3+2p}$; (b) $2^{2p+q}$; (c) $\frac{27}{25}$.

Indices

Indices

Solution:

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