问题
解答题
(Ⅰ)已知lg2=a,lg3=b,试用a,b表示log215; (Ⅱ)化简求值:
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答案
(Ⅰ)log215=
=lg15 lg2
=lg3+lg5 lg2
=lg3+lg 10 2 lg2
.1+lg3-lg2 lg2
∵lg2=a,lg3=b,
∴log215=
=1+lg3-lg2 lg2
.1+b-a a
(Ⅱ)
+6 1 4
82+0.027-[3]
×(-2 3
)-21 3
=
+(
)25 2
×82+((0.3)3)-3
×(-3)22 3
=
+645 2
+3
×9100 9
=
+64205 2
.3