Home
Class 12
MATHS
If log6a+log6b+log6c=6,where a,b,c, inN ...

If `log_6a+log_6b+log_6c=6`,where a,b,c, `in`N and a,b,c are in GP and b-a is a square of an integer, then the value of a+b-c is

A

21

B

15

C

9

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

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

Similar Questions

Explore conceptually related problems

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

The lengths of the sides of a traingle are log_(10)12,log_(10)75andlog_(10)n , where n in N . If a and b are the least ad greatest values of n respectively. The value of b-a is divisible by

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc and a+b+c=(3)/(2) , than find the values of a and c.

If AB=C, where B and C are matrices of orders 6xx5 , then the order of matrix A is

If |a|=1,|b|=3 and |c|=5 , then the value of [a-b" "b-c" "c-a] is

If a, b,c are in G.P, then log a, log b, log c are:

If int ( sin x )/( sin (x - a)) = Ax + B log sin (x -a) + C, then the value of (A,B) is :

If a,b,c, d are in G.P., show that : a+b,b+ c and c+d are also in G.P.

If x,y,z are in G.P. and a^x= b^y=c^z , prove that log_b a. log_b c=1 .