Question

iF 3^X=5^Y=(75)^Z,SHOW THAT Z=XY/2X+Y

9th STANDARD QUESTION​

Answer 1

Answer:

yes it is proved

Step-by-step explanation:

Given,

Given,3^x = 5^y = 75^z

3^x = 5^y = 75^z3^x = 5^y = 75^z = k

⇒3 = k^1/x, 5 = k^1/y, 75 = k^1/z

5^2 X 3 = k^1/z

(k^1/y)^2 X (k^1/x) = k1/z

By comparing powers

⇒2/y + 2/x = 1/z2x+y/xy = 1/z

2x+y/xy = 1/z

∴ z = xy/2x+y

[Hence proved]

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Answer 2

IT'S OK.

NOT NEED 2 TELL THANKS..

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