题目内容
(1)计算:0.064-
-(-
)0+7log72+0.25
×0.5-4;
(2)已知a=lg2,10b=3,用a,b表示log6
.
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(2)已知a=lg2,10b=3,用a,b表示log6
| 30 |
(1)原式=(
)-
-1+2+(
)
× (
)-4=(
)3×(-
)-1+2+(
)5×(
)-4=
-1+2+
=4
(2)∵10b=3
∴b=lg3
又∵a=lg2
∴log6
=
log630=
(1+log65)=
(1+
)=
(1+
)=
(1+
)=
(1+
)=
| 64 |
| 1000 |
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| 5 |
| 2 |
| 1 |
| 2 |
| 4 |
| 10 |
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| 1 |
| 2 |
| 1 |
| 2 |
| 10 |
| 4 |
| 1 |
| 2 |
(2)∵10b=3
∴b=lg3
又∵a=lg2
∴log6
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| 2 |
| 1 |
| 2 |
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| lg5 |
| lg6 |
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| 2 |
lg
| ||
| lg(2×3) |
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| 2 |
| 1-lg2 |
| lg2+lg3 |
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| 2 |
| 1-a |
| a+b |
| b+1 |
| 2(a+b) |
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