Home
Class 12
MATHS
If log(a)b+log(b)c+log(c)a vanishes wher...

If `log_(a)b+log_(b)c+log_(c)a` vanishes where a, b and c are positive reals different than unity then the value of `(log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3)` is

A

an odd prime

B

an even prime

C

an odd composite

D

an irrational number

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the value of log_(c) sqrtc

Find the value of log_(2/3)""8/27

log (log_(ab) a +(1)/(log_(b)ab)) is (where ab ne 1)

Prove log_(x)b^(x)=x

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c .

Solve the equation 2x^(log_(4)^(3))+3^(log_(4)^(x)=27

If log_2 log_3 log_4 (x+1) =0, then x is :-

Determine the value of the following. log_(81)3

Determine the value of the following. 2^(2+log_(2) 3)

If a, b, c, are positive real numbers and log_(4) a=log_(6)b=log_(9) (a+b) , then b/a equals