16Hit1600
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.

More Advanced Math questions

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