Stage 24 · Exponential & Logarithmic Functions

24.4.4 How Inverses Cancel Out

24.4 Logarithmic Functions and Mirror Symmetry

Point 4 of 5

24.4.4 How Inverses Cancel Out

Core idea

Taking an exponent then a log brings you back where you started, so a^(log_a x)=x and log_a(a^x)=x act like a pair of on-off switches.

Module goal. Establish the logarithmic function and its properties, revealing that exponential and logarithmic graphs mirror each other across y=x

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