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If 2 ^𝑎 ⋅ 2^ 𝑏 = 3^ 𝑐 , what is the value of 𝑎 + 𝑏/ 𝑐 ?
  1. 2
  2. 1
  3. 0
  4. Undefined
Explanation

  • 2a⋅2b=2a+b2^a cdot 2^b = 2^{a + b}, so the equation becomes 2a+b=3

  • This is only possible when both sides equal 1 ⇒a + b = 0,.

  • So, a+bc=00frac{a + b}{c} = frac{0}{0} which is undefined.

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