Home
Class 12
MATHS
IF a^x=b,b^y=c,c^z=a,x=(logba)^(k1),y=(l...

IF `a^x=b,b^y=c,c^z=a,x=(log_ba)^(k1),y=(log_cb)^(k2),z=(log_ac)^(k3)`, find the minimum value of `3k_1+6k_2+12k_3`.

Text Solution

Verified by Experts

The correct Answer is:
18
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 x=2,y=1 is a solution 3x+2y=k, find the value of k.

If A = {:[(1,2),(4,2)} , then find the value of 'k' if |2A| = k|A|.

If x=2 is a zero of p(x)=2x^3-3x+7k find the value of k.

If {:((1,2),(3,4)),((3,1),(2,5)),= ((7,11),(k,23)) , then write the value of 'k'

If f(n)=prod_(i=2)^(n-1)log_i(i+1) , the value of sum_(k=1)^100f(2^k) equals

If x=1,y-2 is a solution of 2x+3y=k, find the value of k.

If (k,4) lies on the graph of 3x+y=10, then the value of k is

If x=3 and y=-2 satisfy 2x-3y=k , then find the value of k .

If x=2k-1 and y=k is a solution of the 3x-5y-9=0 find the value of k.

H_(3)A is a weak triprotic acid (K_(a1)=10^(-5),K_(a2)=10^(-9),K_(a3)=10^(-13) What is the value of pH of 0.1 M H_(3)A (aq.) solution ? Where pX=-log X and X= [[A^(3-)]]/[[HA^(2-)]]