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y = log2 x is the inverse of the exponential function f(x) = 2x. It means its graph is a reflection of the graph of f(x) about the line y = x.
Let's find some coordinates for f(x), then reverse them.
We know the graph of an exponential function passes through (0, 1).
(0, 1) to (1, 0)
(1, 21) to (2, 1)
(-1, 2-1) to (1/2, -1)
(2, 22)] to (4, 2)
(-2, 2-2) to (1/4, -2)
(3, 23) to (8, 3)
Just plot the points and connect them with a smooth curve. Be careful, the y-axis is a vertical asymptote.
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∙ 10y ago
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