Question

3的a次方=4的b次方=36,求2/a+1/b的值

Answer 1

3^a=36

9^a=36²

9^ab=36^2b

4^b=36

4^ab=36^a

所以相乘

36^ab=36^(2b+a)

所以ab=2b+a

两边除以ab

2/a+1/b=1