(log2 5+log4 125)log3 2/ log根号3 5

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(log2 5+log4 125)log3 2/ log根号3 5
(log2 5+log4 125)log3 2/ log根号3 5

(log2 5+log4 125)log3 2/ log根号3 5
(log2 5+log4 125)log3 2/ log根号3 5
=(log2 5+log4 125)log3 2/ log3 25
=(log2 5+log4 125)log25 2
=(log2 5+log2 5根号5)log25 2
=log2 25根号5 *log25 2
=lg2/lg25根号5 *lg25 /lg2 (换底公式)
=log25 25根号5
=log 5² 5的5/2次方
=5/4