Advanced Math practice question

Answer: 6

2⁴ = 16 is the first power above 10, and 2⁹ = 512 is the last below 1,000. That gives x = 4, 5, 6, 7, 8, 9: six values.

Common wrong answers

If you answered 5

5 misses one endpoint.

If you answered 7

7 includes x = 10, but 2¹⁰ = 1,024 exceeds 1,000.

If you answered 9

9 is the largest such x, not the count.

More Advanced Math questions

• Hard
  A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af…
• Hard
  How many real solutions does x² + 4x + 5 = 0 have?
• Hard
  A car worth $20,000 loses 15% of its value each year. What is its value after 2 years?
• Hard
  An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye…
• Hard
  If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))?
• Hard
  The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?