Saved Bookmarks
| 1. |
The domain of the function `y=sqrt(log_10(log_10x)-log_10(4-log_10x)-log_10 3 quad` isA. `(1,10^(4))`B. `[10^(3),10^(4)]`C. `[10^(3),10^(4)]`D. `(10^(3),10^(4)]` |
|
Answer» Correct Answer - C `f(x)` defined when `log(logx) - log (4-logx) - log3 ge 0`, `rArr log ((log x)/(3(4-logx)))ge 0` `rArr (logx)/(3(4-logx)) ge 1` `rArr (4(logx-3))/(3(logx-4)) le 0` `rArr 3 le log_(10) x le 4` , [`:. Log x ne 4`] `rArr 10^(3) le x le 10^(4)` `rArr x in [10^(3), 10^(4))` |
|