The Math Meridian
Back to Functions, Exponentials and Logarithms

Solve exponential equations using logarithms

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Learn it To solve bˣ = c when c isn't a neat power of b, take the log of both sides: x log b = log c, so x = log c ÷ log b. For a(b)ˣ = c, first divide by a.

Example: Solve 3ˣ = 50.

  1. x log 3 = log 50.
  2. x = log 50 ÷ log 3 ≈ 3.56.

Loading questions…