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ACT Preparation / Unit 12   ACT 1116 short lesson, about 20 seconds

The Logarithm Graph

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The idea

The graph of y = log_b x is the reflection of y = bˣ over the line y = x. It passes through (1, 0), has the vertical asymptote x = 0, and its domain is x > 0.

In practice

log₂ x passes through (1, 0), (2, 1) and (8, 3).

Where people slip

The domain and range swap with the exponential's.

Your place on the trail

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