Algebra & Equations · Question 29 · Hard

If 2^(x + 1) + 2^x = 48, what is the value of x?

  1. 4
  2. 5
  3. 6
  4. 3
Answer and explanation

Answer: A. 4

Explanation: 2^(x + 1) + 2^x = 2·2^x + 2^x = 3·2^x = 48, so 2^x = 16 and x = 4.

Previous: If x + y = 10, y + z = 14 and z + x = 12, what is the value of xyz? · Next: The sum of the squares of two consecutive even positive integers is 340. What…

Practise algebra & equations

Try a fresh set of algebra & equations questions with an explanation after every answer, free and without signing up: Algebra & Equations practice. Or sit a full placement mock test.

More algebra & equations questions

More quantitative aptitude practice

Number System · HCF & LCM · Simplification · Percentages · Profit & Loss · Simple & Compound Interest · Ratio & Proportion · Averages

LogicWiz Exams home · All practice topics · Placement mock tests · Daily 10 challenge