SOLUTION: Sir/Madam , Please help me to solve my problem . I Will be very grateful for your help. My question is : If (4.8)^x=(0.48)^y=1000 then what is the value of 1/x � 1/y ? As th

Question 478524: Sir/Madam ,
Please help me to solve my problem . I Will be very grateful for your help. My question is :
If (4.8)^x=(0.48)^y=1000 then what is the value of 1/x � 1/y ?
As the Answer given is :1/3
So please Sir/Madam provide me the steps for this question..

Thank you,
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If (4.8)^x=(0.48)^y=1000 then what is the value of 1/x � 1/y
**
4.8^x=1000
take log of both sides
xlog4.8=log1000
.6812x=3
x=3/.681241
x=4.403726
1/x=.227080
..
.48^x=1000
take log of both sides
xlog.48=log1000
-.318759x=3
x=3/-.3188
x=-9.411506
1/x=-.106253
..
1/x-1/y=.227080-(-.106253)=.333333..
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