log6(12)=m 试用m表示log24(96) 速求!
1个回答

你好

log6(12)=m

lg6*2/lg6=m

1+lg2/lg6=m

lg2/lg6=m-1

lg6/lg2=1/(m-1)

log24(96)

=lg96/lg24

=lg(24*4)/lg24

=(lg24+lg4)/lg24

=1+lg4/lg24

=1+1/(lg24/lg4)

=1+1/(1+lg6/lg4)

=1+1/(1+lg6/2lg2)

=1+1/(1+1/2(m-1))

=1+1/[(2m-1)/(2m-2)]

=1+(2m-2)/(2m-1)

=(4m-3)/(2m-1)

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