Understanding Logarithm Definitions

00:00 2 marks

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  • SL
  • Tier 1
  • Logarithms
  • Inverse Functions
  • Exponents

Define the logarithm function in terms of its relationship to exponential functions. Explain how the logarithm serves as the inverse of an exponential function.

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Hint

Recall that if \(a^x = y\), then \(\log_a y = x\).

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Complete Answer

The logarithm function is the inverse of the exponential function: if \(a^x = y\), then by definition \(\log_a y = x\).

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