Home
Class 11
MATHS
If log(9)x +log(4)y = (7)/(2) and log(9)...

If `log_(9)x +log_(4)y = (7)/(2)` and `log_(9) x - log_(8)y =- (3)/(2)`, then `x +y` equals

A

35

B

41

C

67

D

73

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If log_(sqrt(2)) sqrt(x) +log_(2)x + log_(4) (x^(2)) + log_(8)(x^(3)) + log_(16)(x^(4)) = 40 then x is equal to-

If log_(4)5 = x and log_(5)6 = y then

Evaluate: log_(9)27 - log_(27)9

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

If log_(2)(log_(4)(x))) = 0, log_(3)(log_(4)(log_(2)(y))) = 0 and log_(4)(log_(2)(log_(3)(z))) = 0 then the sum of x,y and z is-

x log x(dy)/(dx) + y = (2)/(x)log x

Suppose 3 sin ^(-1) ( log _(2) x ) + cos^(-1) ( log _(2) y) =pi //2 " and " sin^(-1) ( log _(2) x ) + 2 cos^(-1) ( log_(2) y) = 11 pi//6 , then the value of x^(-2) + y^(-2) equals

If b gt 1, x gt 0 and (2x)^(log_(b) 2)-(3x)^(log_(b) 3)=0 , then x is

Let log_(c)ab = x, log_(a)bc = y and log_(b) ca = z . Find the value of (xyz - x - y - z) .

If y= log_(e) ( log_(pi) x) , ( x gt 1) then ( d^2 y)/( dx^2) = …....