Home
Class 12
MATHS
If x=log(2a)((bcd)/2), y=log(3b)((acd)/3...

If `x=log_(2a)((bcd)/2), y=log_(3b)((acd)/3), z=log_(4c)((abd)/4) and w=log_(5d)((abc)/5)` and `1/(x+1)+1/(y+1)+1/(z+1)+1/(w+1) = log_(abcd)N+1,` then value of `N/40` is

A

40

B

80

C

120

D

160

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
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=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab , then (xyz)/(xy+yz+zx) is equal to

If a=log_(24)12,b=log_(36)24, c=log_(48)36 , then show that 1+abc=2bc

If log_(10)(sin(x+pi/4))=(log_(10)6-1)/2 , the value of log_(10)(sinx)+log_(10)(cosx) is

If {:[(x-y,z),(2x-y,w)] = [(-1,4),(0,5)] , find the value of x+y.

If x satisfies log_2(9^(x-1)+7)=2+log_2(3^(x-1)+1) , then

If (log)_(0. 3)(x-1) (a) (2,oo) (b) (1,2) (c) (-2,-1) (d) None of these

y=log_e(tan^(- 1)sqrt(1+x^2)) then dy/dx is

Evaluate: (lim)_(nvecoo)[1/(n a)+1/(n a+1)+1/(n a+2)++1/(n b)] a. log(a/b) b. log(b/a) c. log(ab) d. None of these

If y = a^(1/(1-log_(a) x)) and z = a^(1/(1-log_(a)y))",then prove that "x=a^(1/(1-log_(a)z))

Solve log_4(log_3x)+log_(1//4)(log_(1//3)y)=0 and x^2+y^2=17/4 .