Math  /  Algebra

QuestionMatch the value of bb on the left with the shape of the graph of f(x)=logbxf(x)=\log _{b} x on the right. Graphs on the right may be used more than once. b=3b=52b=25b=0.10\begin{array}{l} b=3 \\ b=\frac{5}{2} \\ b=\frac{2}{5} \\ b=0.10 \end{array}

Studdy Solution
Match each b b value to the correct graph shape: - b=3 b = 3 is greater than 1, so the graph is increasing. - b=52 b = \frac{5}{2} is greater than 1, so the graph is increasing. - b=25 b = \frac{2}{5} is less than 1, so the graph is decreasing. - b=0.10 b = 0.10 is less than 1, so the graph is decreasing.
The matches are: - b=3 b = 3 matches with the increasing graph. - b=52 b = \frac{5}{2} matches with the increasing graph. - b=25 b = \frac{2}{5} matches with the decreasing graph. - b=0.10 b = 0.10 matches with the decreasing graph.

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