Home
Class 12
MATHS
If logax=alpha,logbx=beta,logc x=gamma ...

If `log_ax=alpha,log_bx=beta,log_c x=gamma` and `log_d x=delta ,xne1` and a,b,c,`dne1`,then `log_(abcd)` x equals

A

`le(alpha+beta+gamma+delta)/16`

B

`ge (alpha+beta+gamma+delta)/16`

C

`1/(alpha^(-1)+beta^(-1)+gamma^(-1)+delta^(-1))`

D

`1/(alphabetagammadelta)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|20 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Given log_(a) x=alpha, log _(b) x=beta, log_(c)x =gamma & log_(d) x=delta(x ne 1), a,b,c,d in R^(+)-{1}" then "log_(abcd)x then the value equal to:

if log_(a)x=(1)/(alpha),log_(b)x=(1)/(beta),log_(c)x=y then log_(abc)x

Given that log_(a)x=(1)/(alpha),log_(b)x=(1)/(beta) and log_(c)x=(1)/(gamma) Then find log_(abc)x

If log_(a)x,log_(b)x,log_(c)x are in AP, where x!=1, then

Given that log_(p)x=alpha and log_(q)x=beta, then value of log_((p)/(q))x equals

log_(a)b xx log_(b)c xx log_(c) d xx log_(d)a is equal to

If x=log_(k)b=log_(b)c=(1)/(2)log_(c)d, then log_(k)d is equal to

If log_(x)ax,log_(x)bx" and "log_(x)cx are in AP, where a, b, c and x, belong to (1,oo) , then a, b and c are in