Home
Class 11
MATHS
If x,y,z are three positive numbers form...

If x,y,z are three positive numbers forming a geometric sequence, then show that `log_(a)x,log_(a)y,log_(a)z` form an arithmetic sequence ;a being positive and not equal to 1.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (h) SATQ|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (h) LATQ|13 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (g) SATQ|5 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If "log"_(y) x = "log"_(z)y = "log"_(x)z , then

If log_(10)x,log_(10)y,log_(10) z are in AP then x, y, z are in

If log_(10)x, log_(10)y, log_(10)z are in AP, then x,y,z are in:

log_(x)x xx log_(y)y xx log_(z)z = ______

What is the value of log_(y)x^(5)log_(x)y^(2)log_(z)z^(3) ?

If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)