SOLUTION: hey what will be the solution for following according to you all {{{ x^(1/p)=y^(1/q)=z^(1/r) }}} and x.y.z = 1 then what will be value of p+q+r ?

SOLUTION: hey what will be the solution for following according to you all {{{ x^(1/p)=y^(1/q)=z^(1/r) }}} and x.y.z = 1 then what will be value of p+q+r ?

Algebra.Com

Question 190125: hey what will be the solution for following according to you all

and x.y.z = 1
then what will be value of p+q+r ?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let

Then
from , we obtain
For the same reason, we have

and

Substituting them into , we have
, or written as:

The equation implies that:

RELATED QUESTIONS
please help with this if 2x=3y=6z then what will be value of 1/x + 1/y +... (answered by josmiceli)

Exponential and Logarithmic Functions (1) Let f(z) = 3^z (a) Find what value of z... (answered by funmath,hotrodd)

If the operation x*y is defined by x *y=(x+1)(y+1)-1, then which one of the following is (answered by Fombitz,ikleyn)

x^2=y+z, y^2=z+x, z^2=x+y, then what is the value of (1/(x+1)) + (1/(y+1)) +... (answered by Edwin McCravy)

What must be true about x, y, z and w if AB = BA for the matrices A= x y z w (answered by venugopalramana)

Respected Sir/Madam , Please help me to solve my problem . I Will be very grateful for... (answered by Tatiana_Stebko)

Dont get this at all - The variable Z varies jointly with x and y. Use the given... (answered by stanbon)

A four digit integer, WXYZ, in which w, x, y and z each represent a different digit, is... (answered by ikleyn)

1. If y(x-1) = z then x= A. y-z B. z/y + 1 C. y(z-1) D. z(y-1) 2. If 3x=6x-15 then x (answered by Fombitz)