SOLUTION: If 12^x =18 and 24^y =54 Show that 5(x-y)+xy =1

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Question 476557: If 12^x =18 and 24^y =54
Show that 5(x-y)+xy =1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If 12^x =18 and 24^y =54
Show that 5(x-y)+xy =1
**
12^x =18
xlog12=log18
x=log18/log12
From calculator:
x=1.1632
..
24^y =54
ylog24=log54
x=log54/log24
x=1.2552
..
5(x-y)+xy
5(1.1632-1.2552)+(1.1632)(1.2552)
-0.4600+1.4600=1