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Chapter 5: Q 6. (page 297)

If the graph of a logarithmic function f(x)=logax, where a>0and a鈮�1, is increasing, then its base must be larger

than ___________ .

Short Answer

Expert verified

The base must be larger than1.

Step by step solution

01

Step 1. Given information

Given expression isf(x)=logax

02

Step 2. Range of base

Let us assume, the base of logarithmic function less than1, 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. Relevant image

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Most popular questions from this chapter

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