The equation x^((3/4)(log_2 x)^2 + (log_2 x) - (5/4))=sqrt(2) has | Filo
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Class 11

Math

JEE Main Questions

Logarithm

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The equation has at least one real solution exactly three solutions exactly one irrational solution complex roots

Solution: Solution:
Taking logs both sides,


Let
Then, equation becomes,








So, there are exactly three solutions for .
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