3^a=5...9^b=10.问3^a+2b等于多少

3^a=5...9^b=10.问3^a+2b等于多少
3^a=5...9^b=10.问3^a+2b等于多少

3^a=5...9^b=10.问3^a+2b等于多少
3^a=5...9^b=10
a=log3(5) b=log9(10)
3^(a+2b)
=3^log3(5)*3^log9（10）
=5*3^1/2log3(10)
=5*3^log3(10^1/2)
=5*10^1/2
=5√10