1/(log3 根号15)+1/(log5 根号15)等于多少

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1/(log3根号15)+1/(log5根号15)等于多少1/(log3根号15)+1/(log5根号15)等于多少1/(log3根号15)+1/(log5根号15)等于多少1/(log3√15)+1

1/(log3 根号15)+1/(log5 根号15)等于多少
1/(log3 根号15)+1/(log5 根号15)等于多少

1/(log3 根号15)+1/(log5 根号15)等于多少
1/(log3 √15)+1/(log5 √15)
=1/(1/2*log3 15)+1/(1/2*log5 15)
=2/(log3 15)+2/(log5 15)
=2/[log3 (3*5)]+2/[log5 (3*5)]
=2/[log3 3 +log3 *5]+2/[log5 3 +log5 5]
=2/[1+log3 *5]+2/[1+log5 3]
=2/[1+log3 *5]+2/[1+1/log3 5]
=2/[1+log3 *5]+2log3 5/[1+log3 5]
=[2+2log3 5]/[1+log3 5]
=2[1+log3 5]/[1+log3 5]
=2

1/(log3 根号15)+1/(log5 根号15)
=2/(log3 15)+2/(log5 15)
=2lg3/lg15+2lg5/lg15
=2(lg3+lg5)/lg15
=2lg15/lg15
=2

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