if 3^x=5^y=45^z,prove that x =2yz/y-z

 

 

 

 

 

Asked by ravindrasharma78 | 5th Oct, 2018, 07:00: PM

Expert Answer:

3x = 5y = 45z = k
3 = k1/x , 5 = k1/y , 45 = k1/z 
45 = 5 × 32 
k1/z = k1/y k2/x
begin mathsize 16px style 1 over straight z equals 1 over straight y plus 2 over straight x end style
Simplfying we get the required answer.

Answered by Sneha shidid | 10th Oct, 2018, 11:52: AM

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