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Chapter 5: Q6. (page 297)

If the graph of a logarithmic function fx=logax, where a>0and a鈮�0, is increasing, then its base must be larger than_____.

Short Answer

Expert verified

The base must be larger than 1.

Step by step solution

01

Step 1. Given information.

Consider the given information.

fx=logax

02

Step 2. Range of base.

Let us assume, that the base of the logarithmic function is less than 1, say 0.9.

Now, the graph of the function f(x)=log0.9xbe monotonic decreasing as shown below :

Hence, The base number must be greater than 1 to be an increasing function.

03

Step 3. Draw the graph.

Draw the graph of the function.

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