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If 5^x—1 =25 and 6^y+2 =216, find the value of y/x – x/y.
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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
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Answer:
evaluate cube root of 36 into cube root of 48
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