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Basic Mathematics QUESTION #7947
Question 1
If \(4^a = 8^b\), what is the ratio of \(a\) to \(b\)?
  • \(\dfrac{1}{2}\)
  • \(\dfrac{2}{3}\)
  • \(\dfrac{3}{2}\)✔️
  • \(\dfrac{2}{4}\)
Correct Answer Explanation
\(4^a = 8^b \Rightarrow 2^{2a} = 2^{3b} \Rightarrow 2a = 3b \Rightarrow \dfrac{a}{b} = \dfrac{3}{2}\)