Home
Class 12
MATHS
If 3^x=5^y=(75)^z show that z=(xy)/(2x+y...

If `3^x=5^y=(75)^z` show that `z=(xy)/(2x+y`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

if 3^(x)=5^(y)(75)^(z) then Z=

If xy+yz+zx=1 show that (x)/(1-x^(2))+(y)/(1-y^(2))+(z)/(1-z^(2))=(4xyz)/((1-x^(2))(1-y^(2))(1-z^(2)))

If x+y+z=,0, show that x,y,zx^(2),y^(2),z^(2)y+z,z+x,x+y]|=0

(i) Factorize the experssions 8a^(6)+5a^3+1 (ii) show that (x-y)^3+(z-x)^3+(z-x)^3=3(x-y)(y-z)(z-x)

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= (4xyz)/((1-x^(2))(1-y^(2)) (1-z^(2)))

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= 4xyz/((1-x^(2))(1-y^(2)) (1-z^(2)))

If 360=2^(x)*3^(y)*5^(z) then x+y+z=

If x,y,z in R & Delta =|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x+7y+3z)|=-16 then the value of x is

Using the properties of determinants, show that: abs((x,x^2,yz),(y,y^2,xz),(z,z^2,xy))=(x−y)(y−z)(z−x)(xy+yz+zx)

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x)=lim(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is con...

    Text Solution

    |

  2. Obtain the differential equation of the family of circles passing thro...

    Text Solution

    |

  3. If 3^x=5^y=(75)^z show that z=(xy)/(2x+y

    Text Solution

    |

  4. If 3x+4y+k=0 represents the equation of tangent at the vertex of the ...

    Text Solution

    |

  5. Let f:R-> R be defined by f(x) = x^3 + 3x + 1 and g be the inverse o...

    Text Solution

    |

  6. The value of the integral I=int(0)^( pi/4)[sin x+cos x](cos x-sin x)dx...

    Text Solution

    |

  7. Three a's, three b's and three c's are placed randomly in 3xx3 matr...

    Text Solution

    |

  8. if""1=int(-a)^(2a)(xdx)/(x^2+p^2),I2=inta^(2a)(xdx)/(x^2+p^2) then fin...

    Text Solution

    |

  9. From a point P outside a circle with centre at C, tangents PA and PB a...

    Text Solution

    |

  10. If alphaa n dbeta are roots of equation x^2-7x+1=0, then the value of ...

    Text Solution

    |

  11. Consider the expansion of (sqrt(x)-(2)/(x^(2)))^(16)

    Text Solution

    |

  12. If the roots of the equation (a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0 are ...

    Text Solution

    |

  13. If z1, z2, z3 are 3 distinct complex numbers such that 3/|z2-z3|-4/|...

    Text Solution

    |

  14. Consider the digits in set S=(1,2,3,4). All four-digit number formed u...

    Text Solution

    |

  15. If n(AuuBuuC)+(AuuBuuC)^'=50 ,n(A)=10 ,n(B)=15 , n(C)=20 ,n(AnnB)=5, n...

    Text Solution

    |

  16. Four cards are drawn successively with replacement from a well shuffle...

    Text Solution

    |

  17. If n(A)=4a n dn(B)=7 , then the minimum and maximum values of n(AuuB)...

    Text Solution

    |

  18. Let p=2520, x=number of divisors of p which are multiple of 6, y=numbe...

    Text Solution

    |

  19. The value of cos 12^0+cos 84^0+cos 156^0+cos 132^0 is 1/2 1 -1/2 1/8

    Text Solution

    |

  20. Cosider :- Urn-Ito3 black & 4 white balls Urn-IIto2 white & 5 black ...

    Text Solution

    |