Advanced MathVery hardMixed bases reduced to base two
Advanced Math practice question
If 2ˣ · 4ˣ⁺¹ = 8³, what is the value of x? (Enter your answer as a fraction or decimal.)
Answer: 7/3
In base 2: x + 2(x + 1) = 9, so 3x + 2 = 9 and x = 7/3.
Common wrong answers
- If you answered 2
- 4ˣ⁺¹ contributes 2(x + 1), not (x + 1); the equation is 3x + 2 = 9.
- If you answered 3
- 3 is the exponent on 8; convert everything to base 2 first.
- If you answered 7
- 7 is 3x; divide by 3.
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