题目内容
已知三数x+log272,x+log92,x+log32成等比数列,则公比为______.
∵三数x+log272,x+log92,x+log32成等比数列
∴q=
=
=
而log92=
log32,log272=
log32
∴q=
=
=3
故答案为:3
∴q=
| x+log92 |
| x+log272 |
| x+log32 |
| x+log92 |
| log92-log32 |
| log272-log92 |
而log92=
| 1 |
| 2 |
| 1 |
| 3 |
∴q=
| log92-log32 |
| log272-log92 |
| ||||
|
故答案为:3
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