Can someone help me out with this question about logs? please 3^(2x)−2^(2y)=17 Find x+y. Here is what I did so far: Let m=3^(2x) and let n=2^(2y) x=(log_3m)/(2), y=(log_2n)/2

omgespit9q 2022-10-25 Answered
Can someone help me out with this question about logs? please
3 2 x 2 2 y = 17
Find x + y
Here is what I did so far: Let m = 3 2 x and let n = 2 2 y , x = log 3 m 2 , y = log 2 n 2
x + y = log 3 m + log 2 n 2
x+y= (base(3)17+n)+(base(2)n)/2
don't know what to do from there
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Answers (1)

Miah Scott
Answered 2022-10-26 Author has 19 answers
17 = 3 2 x 2 2 y = ( 3 x 2 y ) ( 3 x + 2 y )
and now remember 17 is prime. I don't think logarithms are required here.
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