MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function
If 2ˣ = 8ʸ, which of the following is the value of x : y?
Think it through first, then pick an option.
- a 1 : 3
- b 1 : 2
- c 2 : 1
- d 3 : 1
Answer and explanation
Correct answer: d 3 : 1
Since 8 = 2³, 2ˣ = 2³ʸ, so x = 3y and x : y = 3 : 1.
Why the other options are wrong
- a 1 : 3: 1 : 3 is y : x; it is inverted. 2ˣ = 2³ʸ gives x = 3y.
- b 1 : 2: 1 : 2 would be for 2ˣ = 4ʸ; here 8 = 2³.
- c 2 : 1: 2 : 1 would be for 4ˣ = 2ʸ; ours is 2ˣ = 8ʸ.
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