Log5^35+2log1/2^√2-log5^1/50-log5^14求值

分类: 作业答案 • 2022-02-26 13:00:45

问题描述：

Log5^35+2log1/2^√2-log5^1/50-log5^14
求值

答

Log5^35+2log1/2^√2-log5^1/50-log5^14
=log5^(5×7)+log1/2^2+log5^(5²×2)-log5^(2×7)
=1+log5^7-1+2+log5^2-log5^2-log5^7
=2

答

Log[5]35+2log[1/2]√2-log[5]1/50-log[5]14
=log[5]35+log[1/2]2+log[5]50-log[5]14
=log[5]（35*50/14）-1
=log[5]125-1
=3-1
=2