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The graph of every logarithmic function f(x)=loga(x)where a>0, and a≠1, passes through three points: _____ ,

___________ , and ________ .

Short Answer

Expert verified

The three points are :(a,1);(1,0)and(1a,-1)

Step by step solution

01

Step 1. Given information

Given expression isf(x)=logax

02

Step 2. Find the point

Let us assume, three points on the x-axisare a,1,1a

Now,

f(a)=1f(1)=0f(1a)=-1

Hence, there points on the function are :(a,1);(1,0)and(1a,-1)

03

Step 3. Relevant picture

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