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Chapter 5: Q 4. (page 297)

The domain of the logarithmic functionf(x)=logaxis _____.

Short Answer

Expert verified

The domain of the logarithmic functionf(x)=logaxis(0,鈭�).

Step by step solution

01

Step 1. Given information

Given expression isf(x)=logax

02

Step 2. Find value of 'x'

Let, y=f(x)

Then,

y=logax

omitting logarithm , we have,

x=ay

03

Step 3. Find domain

The domain is(0,鈭�)as the value ofaymay0at minimum or鈭�at maximum.

04

Step 4. Check

The domain (0,鈭�)is appropriate for the function f(x)=logax

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