Exponential Equation

Free interactive math game: Exponential Equation — 2^x = 32. Part of the Logarithms category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. 5^x = 625 x = ?
  2. 10^x = 10000 x = ?
  3. 5^x = 125 x = ?
  4. 2^x = 16 x = ?

About this exercise

Equations where the unknown sits in the exponent.

How to solve it

Write both sides as powers of the same base, then the exponents themselves must be equal.

Worked example

From 2 to the power x equals 32, and 32 is 2 to the power 5, so x = 5.

Common mistake

Dividing both sides by the base. That changes the equation without isolating the exponent.