Home
Class 12
MATHS
If x,yinR^+and log10(2x)+log10y=2, log1...

If `x,yinR^+`and `log_10(2x)+log_10y=2`, `log_10x^2-log_10(2y)=4` and `x+y=m/n` ,Where m and n are relative prime , the value of `m-3n^(6)` is

Text Solution

Verified by Experts

The correct Answer is:
9
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

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

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise for session 8|1 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 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 y = log_10 x + log_X 10 + log_(x) X + log_(10)10, find dy/dx

Find domain of the function log_10 log_10 log_10 log_10 log_10 x

If y = log x - x^2 , then value of (d^2y)/(dx^2) is

If log_10 2, log_10(2^x- 1) and log_10(2^x+3) are in A.P., then find the value of x.

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

The lengths of the sides of a traingle are log_(10)12,log_(10)75andlog_(10)n , where n in N . If a and b are the least ad greatest values of n respectively. The value of b-a is divisible by

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has

Solve the equations log_1000 |x+y| = 1/2 . log_10 y - log_10 |x| = log_100 4 for x and y

Find the domain f(x)=log_(100x)((2 log_(10) x+1)/-x)

For x > 1 , the minimum value of 2 log_10(x)-log_x(0.01) is

Home
Profile