Saved Bookmarks
| 1. |
If `3^(x)=4^(x-1)`, then x is equal toA. `(2log_(3) 2)/(2log_(3)2-1)`B. `(2)/(2-log_(2)3)`C. `(1)/(1-log_(4)3)`D. `(2log_(2)3)/(2log_(2)3-1)` |
|
Answer» Correct Answer - C `3^(x)=4^(x-1)` Taking `log_(3)` on both sides, we get `rArr xlog_(3) 3=(x-1)log_(3)^(4)` `rArr x=2log_(3)2*x-log_(3)4` `rArr x(1-2log_(3)2)= -2log_(3)2` `rArr x=(2log_(3)2)/(2log_(3)2-1)` `rArr x=(1)/(1-(1)/(2log_(3)2))=(1)/(1-(1)/(log_(3)4))=(1)/(1-log_(4)3)=(2)/(2-log_(2)3)` `rArr (1)/(1-(1)/(2)log_(2)3)=(1)/(1-log_(4)3)` |
|