Lesson Worksheet: Solving Exponential Equations Using Exponent Properties Mathematics • 10th Grade

In this worksheet, we will practice solving exponential equations using the properties of exponents.

Q1:

Given that 2=32, find the value of 𝑥.

Q2:

Given that 8=4=64, find the value of 𝑦+𝑧.

Q3:

Given that 3=81, find the value of 𝑥.

Q4:

Find the value of 𝑥 for which 81=13.

Q5:

Find the value of 𝑥 for which 8=2. Give your answer to the nearest tenth.

Q6:

Find the solution set of 2=8||.

  • A56
  • B43
  • C65
  • D34

Q7:

Find all the values of 𝑥 which satisfy 7=1().

  • A2 or 0
  • B1 or 0
  • C2 or 0
  • D2

Q8:

Find the solution set of 2=4 in .

  • A{8,4}
  • B{8,4}
  • C{8,4}
  • D{8,4}

Q9:

Given that 8=4, find the value of 512+64.

Q10:

Determine the solution set of 𝑥=6.

  • A{6,6,8,8}
  • B{6,8,8}
  • C{6,6,32,32}
  • D{6,64}
  • E{6,8}

This lesson includes 97 additional questions and 876 additional question variations for subscribers.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.