how many times do they intersect

rengaraj

@rengaraj-89Rrct • Oct 25, 2024

Oct 25, 2024

1.1K

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}

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Saandeep Sreerambatla

@saandeep-sreerambatla-hWHU1M • Jan 15, 2010

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.

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yadavundertaker mohit

@yadavundertaker-0p3HBs • Jan 15, 2010

the curves will intersect two times....

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rengaraj

@rengaraj-89Rrct • Jan 15, 2010

Dear English-Scared & Yadavundertaker,
Thanks for your explanatory answer.
R.Rengaraj

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Saandeep Sreerambatla

@saandeep-sreerambatla-hWHU1M • Jan 17, 2010

yadavundertakerthe curves will intersect two times....

Hey Yadav can you explain it ?

I am a bit confused!!

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