Home
Class 9
MATHS
If 4^a=36^b =9^c, then prove that (b)/(a...

If `4^a=36^b =9^c`, then prove that `(b)/(a)+(b)/( c)=1`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • LAWS OF INDICES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 6|67 Videos

  • HISTOGRAM AND FREQUENCY POLYGON

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-2|16 Videos

  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.2|77 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in H.P., prove that, (a)/(b+c-a), (b)/(c+a-b), (c )/(a+b-c) are in H.P.

If a, b, c are in H.P., prove that (a)/(b+c), (b)/(c+a) and (c )/(a+b) are also in H.P.

If a : b = b : c , then prove that (abc(a+b+c)^(3))/((ab+bc+ca)^(3)) = 1

If in a triangle A B C ,/_C=60^0, then prove that 1/(a+c)+1/(b+c)=3/(a+b+c) .

If (log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b) , then prove that x^(b+c).y^(c+a).z^(a+b) = 1

If a, b, c are in GP then prove that, (a+2b+2c)(a-2b+2c)= a^2+ 4c^2

If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b-c), (1)/(c-a), (1)/(a-b) are also in A.P.

If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

If c^(2) = a^(2) + b^(2) , then prove that 4s (s - a) (s - b) (s - c) = a^(2) b^(2)

If a, b, c are in H.P., prove that, (a)/(a-b) = (a+c)/(a-c)