Home
Class 12
MATHS
Find the value of 3^(2log(9)3)....

Find the value of `3^(2log_(9)3)`.

Text Solution

Verified by Experts

The correct Answer is:
3
` 3^(2 log_(9)3)=3^(log_(9)9^(1//2)`
` = 3^(2(1/2))=3`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.3|16 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.4|12 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.1|6 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

find the value of 2^(2+log_(2)3)

Find the value of 3^(2+log_3 5)

Find the value of 9^(3/2)

Find the value of 81^((1/log_(5)3))+(27^(log_(9)36))+3((4)/(log_(9)9))

Find the value of 2^(2)+log_(2)^(3)

Find the value of (3^(2))^(5log_(3)x) :

Find the value of 3^((4)/(log_(2)9))+27^((1)/(log_(49)9))+81^((1)/(log_(4)3))

Find the value of log_(2)(2root(3)(9)-2)+log_(2)(12root(3)(3)+4+4root(3)(9))

Find the value of : (log )_(1/3)backslash9sqrt(3)

Find the value of log_(2)[log_(2){log_(3)(log_(3)27^(3))}]