Home
Class 12
MATHS
If three positive real numbers a,b,c, (c...

If three positive real numbers a,b,c, `(cgta)` are in H.P., then `log(a+c)+log(a-2b+c)` is equal to

A

`2log (c-b)`

B

`2log(a+c)`

C

`2log (c-a)`

D

`loga+logb+logc`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If three positive unequal numbers a, b, c are in H.P., then

If a, b, c are in G.P, then log_a x, log_b x, log_c x are in

If a, b, c are in G.P, then log_a x, log_b x, log_c x are in

There distinct positive numbers, a,b,c are in G.P. while log _(c) a, log _(b) c, log _(a) b are in A.P. with non-zero common difference d, then 2d=

Let a and b be real numbers greater than 1 for which there exists a positive real number c, different from 1, such that 2(log_a c +log_b c)=9log_ab c . Find the largest possible value of log_a b .

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3ac

If a, b, c are distinct positive real numbers in G.P and log_ca, log_bc, log_ab are in A.P, then find the common difference of this A.P

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

If a, b, c are positive real numbers, then (1)/("log"_(ab)abc) + (1)/("log"_(bc)abc) + (1)/("log"_(ca)abc) =

if a ,b ,c are in G.P.,then (log)_a 10 ,(log)_b10,(log)_c 10 are in____