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

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

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

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

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