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小數的對數如何筆算?如log2(0.45)是多少

log2(0.45)

=lg0.45/lg2

=lg(45*0.01)/lg2

=(lg45+lg0.01)/lg2

=(lg(5*9)-2)/lg2

=(lg5+lg9-2)/lg2

=(lg10/2+2lg3-2)/lg2

=(1-lg2+2lg3-2)/lg2

=(2lg3-lg2-1)/lg2

=(2*0.4771-0.3010-1)/0.3010

=-1.1522