Home
Class 12
MATHS
Which is greater: x=(log)3 5ory=(log)(17...

Which is greater: `x=(log)_3 5ory=(log)_(17)25 ?`

Text Solution

Verified by Experts

`1/y = log_(25) 17 = 1/2 log_(5) 17 and 1/x = log_(5) 3 = 1/2log_(5) 9`
`:. 1/y gt 1/x or x gt y`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.30|1 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.31|1 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise ILLUSTRATION 1.28|1 Videos
  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective Type|9 Videos
  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

The least integer greater than (log)_2(15)* (log)_(1/6)2 * (log)_3 1/6 is ................

Solve (log)_2(3x-2)=(log)_(1/2)x

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)7.5

In a binomial distribution B(n , p=1/4) , if the probability of at least one success is greater than or equal to 9/(10) , then n is greater than (1) 1/((log)_(10)^4-(log)_(10)^3) (2) 1/((log)_(10)^4+(log)_(10)^3) (3) 9/((log)_(10)^4-(log)_(10)^3) (4) 4/((log)_(10)^4-(log)_(10)^3)

Solve : 2(log)_3x-4(log)_x 27lt=5 (x >1)

The value of 3^((log)_4 5)-5^((log)_4 3) is

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

(log)_(0. 5)(3-x)/(x+2)<0

Find the domain of function f(x)=(log)_4[(log)_5{(log)_3(18 x-x^2-77}]

Find the value of ((log)_3 4)((log)_4 5)((log)_5 6)((log)_6 7)((log)_7 8)((log)_8 9)dot