The Math Meridian
Back to Exponential and Logarithmic Functions

Solve exponential and logarithmic equations

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Useful for: IB Math AA SL & HL IB Math AI SL & HL AP® Precalculus

Learn it Exponential: write both sides with the same base if you can; otherwise take logs. Logarithmic: combine into one log, rewrite in exponential form, and reject any answer that makes an argument zero or negative.

Example: Solve log₂(x) + log₂(x − 2) = 3.

  1. log₂[x(x − 2)] = 3 → x² − 2x = 8.
  2. (x − 4)(x + 2) = 0. Reject x = −2.
  3. x = 4.

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