（1）计算：(5116)0.5-2×(21027)-23-2×(2+π)0÷(34)-2；（2）计算：log535+2log0.52-log5150-log514+5log53．

Question

（1）计算：(5(1)/(16))0.5-2×(2(10)/(27))-(2)/(3)-2×(√(2+π))0÷((3)/(4))-2；
（2）计算：log₅35+2log_0.5√(2)-log₅(1)/(50)-log₅14+5 log53．

Answer 1

（1）原式=((9)/(4))2×0.5-2×((4)/(3))3×(-(2)/(3))-2×1×((4)/(3))2=(9)/(4)-2×(9)/(16)-2×(16)/(9)=-(175)/(72)．
（2）原式=log5(35)/((1)/(50)×14)-log₂2+3
=3-1+3=5．