Advanced MathVery hardCounting integer exponents within a range of powers
Advanced Math practice question
For how many integer values of x is 3ˣ greater than or equal to 1/9 and less than or equal to 81?
Answer: 7
3⁻² = 1/9 and 3⁴ = 81, so the integers from −2 to 4 inclusive work: −2, −1, 0, 1, 2, 3, 4, which is 7 values.
Common wrong answers
- If you answered 4
- 4 counts only the positive exponents 1 to 4.
- If you answered 5
- 5 counts 0 to 4, missing the negative exponents.
- If you answered 6
- 6 misses x = 0 or one endpoint.
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