Question

if 5^x-1=25and6^y+2=216,find the value of y/x-x/y.​

Answer 1

Step-by-step explanation:

Given that x = As xy>0, they both have the same sign and also as odd power of x is positive, thus x>0--> Both x,y>0.'

Now lets assume that x>y, thus as both the sides are positive, we can safely raise to the power of 6. Thus, we assume that

or 625>512; this is infact correct. Thus eliminate all the options wherein x<y. Thus we are left with A and E.

Answer 2

Answer:

Given that x = As xy>0, they both have the same sign and also as odd power of x is positive, thus x>0--> Both x,y>0.'

Now lets assume that x>y, thus as both the sides are positive, we can safely raise to the power of 6. Thus, we assume that

or 625>512; this is infact correct. Thus eliminate all the options wherein x<y. Thus we are left with A and E.

Now . We again start with the assumption that z>y[We take y and z as there is a common factor of 2]. Again, as the odd power of z is positive, thus z is also positive. Raising the inequality z>y to the 10th power, we have

or

or 729>512, which is again correct. Thus the order is : z>x>y