how many times do they intersect

Sir / Madam,
My questions is,

When the curves y = log10 x and y = x-1 are drawn in the x-y plane, how many times do they intersect for values x ? 1?

Advance Thanks,
R.Rengaraj
{InfosysTrain-Q104 Pg26}

Replies

  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    Assuming to the base to be 10!

    y = log10x , for x= 1 , y= 1.
    for x = 10 , y = 2
    for x = 100 , y = 3.

    for other values of y viz. for x = 2 , y = 1.3 ,x = 3 y=1.47 so on until x = 10 the value lies below 2.


    y = x -1 for x=1 , y = 0
    x = 2 y =1 ,
    for x = 10 , y = 9


    So the two curves intersect only once at the value of x >2 and <3.

    Asssuming the logarithm is to the base 10.
  • yadavundertaker mohit
    yadavundertaker mohit
    the curves will intersect two times....
  • rengaraj
    rengaraj
    Dear English-Scared & Yadavundertaker,
    Thanks for your explanatory answer.
    R.Rengaraj
  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    yadavundertaker
    the curves will intersect two times....

    Hey Yadav can you explain it ?

    I am a bit confused!!

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