Home
Class 12
MATHS
Let G,O,E and L be positive real numbers...

Let G,O,E and L be positive real numbers such that log(G.L)+log(G.E)=3,log(E.L)+log(E.O)=4, log(O.G)+log(O.L)=5 (base of the log is 10)
If `log(G/O)` and `log(O /E)` are the roots of the equation

A

`x^2+x=0`

B

`x^2-x=0`

C

`x^2-2x+3=0`

D

`x^2-1=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|9 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

Let G,O,E and L be positive real numbers such that log(G.L)+log(G.E)=3,log(E.L)+log(E.O)=4, log(O.G)+log(O.L)=5 (base of the log is 10) If the value of the product (GOEL) is lamda , the value of sqrt(loglamdasqrt(loglamdasqrt(loglamda....))) is a. 3 b. 4 c. 5 d. 7

If log_(10)5=a and log_(10)3=b ,then

If f(x) = log x and g(x) = e^x then fog(x) is :

Find the value of the following log_(e)(e^3)

If log_(3)4=a , log_(5)3=b , then find the value of log_(3)10 in terms of a and b.

If f (x) = log x and g (x) = e^X , then (fog) (x) is :

f(x) =e^x and g(x) = log e^x, then which of the following is TRUE?

What is the value of the underset(h rarr0) Lt ((log(e+h) - log e)/(h) ?

The derivative of e^(2 log x)

Differentiate log (x e^x) w.r.t.x log x.