Algeometery!!

Algebra Level 5

Find the total number of real solution(s) of the equation below. sin ⁡ π x = ∣ ln ⁡ ∣ x ∣ ∣ \sin \pi x = |\ln|x||


The answer is 6.

Harsh Shrivastava by Harsh Shrivastava , 20, India

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1 solution

Harsh Shrivastava
Dec 10, 2014

There are 6 6 intersection points, hence 6 6 solutions!

[Green for s i n π x sin\pi x ]

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Hi Harsh , I don't understand why this question is overrated .

Well , here's the graph that I used , feel free to use it in your solution instead of referring to an external link .

A Former Brilliant Member - 6 years, 3 months ago

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Thanks for the graph man!!

How did you solved?Did you use graph?

Harsh Shrivastava - 6 years, 3 months ago

Can we solve it with out using graph. If yes can you provide a solution. Thanks in advance

A Former Brilliant Member - 6 years, 3 months ago

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I don't know without graph :(

Harsh Shrivastava - 6 years, 3 months ago

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