Video: Reading Information from Graphs of Logarithmic Functions

Which curve is 𝑦 = log₃ (𝑥)?

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Video Transcript

Which curve is 𝑦 equals log base three of 𝑥?

Using this property that log base 𝑎 of 𝑎 equals one, then log base three of three equals one, because three to the first power equals three; that’s just going back and forth between logarithmic form and exponential form.

So if we were to look at 𝑥 equals three, because we plugged in three for 𝑥, we should get an answer of one, so here’s three, and this would be one. Therefore, the blue graph, graph a, would be the curve of our function.

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