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ICSE Class 9 Answered

if 3^x=5^y=45^z,prove that x =2yz/y-z          
Asked by ravindrasharma78 | 05 Oct, 2018, 19:00: PM
answered-by-expert 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 | 10 Oct, 2018, 11:52: AM
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