Home
Class 11
MATHS
If a, b, c are distinct positive numbers...

If a, b, c are distinct positive numbers, each different from 1, such that `[log_(b) a log_(c) a- log_(a) a] + [log_(a ) b log_(c) b- log_(b) b] + [log_(a) c log_(b) c- log_(c) c]= 0`, then abc=

A

1

B

2

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that log_(b)a log_(c)b log_(a)c=1

If a,b,c are distinct positive real numbers each different from unity such that (log_(a)a.log_(c)a-log_(a)a)+(log_(a)b*log_(c)b-log b_(b))+(log_(a)c.log_(a)c-log_(c)c)=0 then prove that abc=1

If a,b,c are distinct real number different from 1 such that (log_(b)a. log_(c)a-log_(a)a) + (log_(a)b.log_(c)b.log_(c)b-log_(b)b) +(log_(a)c.log_(b)c-log_(c)C)=0 , then abc is equal to

Let a,b" and "c are distinct positive numbers,none of them is equal to unity such that log _(b)a .log_(c)a+log_(a)b*log_(c)b+log_(a)c*log_(b)c-log_(b)a sqrt(a)*log_(sqrt(c))b^(1/3)*log_(a)c^(3)=0, then the value of abc is -

log_(a)b=2,log_(b)c=2 and log_(3)c=3+log_(3)a then (a+b+c)=?

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

(1+log_(c)a)log_(a)x*log_(b)c=log_(b)x log_(a)x