3^a=4^b=36 1/a+1/2b=?

3^a=4^b=36 1/a+1/2b=?

3^a=36
9^a=36²
9^ab=36^2b   ①
4^b=36
4^ab=36^a    ②
①、②相乘得
36^ab=36^(2b+a)
所以ab=2b+a
两边除以2ab得
1/2=1/a+1/2b
1/a+1/2b=1/2



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