化简,log（5）35+2log(1/2)√2 - log(5)1/50 - log(5)14注意：括号里的为真数,(√2)这个是_数学解答

化简,log（5）35+2log(1/2)√2 - log(5)1/50 - log(5)14
注意：括号里的为真数,(√2)这个是根号2

人气：218 ℃　时间：2020-01-30 06:39:32

解答

log（5）35+2log(1/2)√2 - log(5)1/50 - log(5)14
=log5(35÷1/50÷14)+2log(1/2)(2^1/2)
=log5(125)+2log(1/2)[(1/2)^-1/2]
=3log5(5)-2*(-1/2)log1/2(1/2)
=3+1
=4