3^a=5...9^b=10.问3^a+2b等于多少
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![3^a=5...9^b=10.问3^a+2b等于多少](/uploads/image/z/2615170-58-0.jpg?t=3%5Ea%3D5...9%5Eb%3D10.%E9%97%AE3%5Ea%2B2b%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91)
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