Saved Bookmarks
| 1. |
the value of `log_7 [log_7 sqrt(7sqrt(7sqrt7))]` isA. `3 log_(2)7`B. `1-3log_(2)7`C. `1-3log_(7)2`D. `(7)/(8)` |
|
Answer» Correct Answer - C Let `log_(7)log_(7)sqrt(7sqrt(7sqrt(7)))=x` `"then "7^(x)=log_(7)sqrt(7sqrt(7sqrt(7)))` `7^(x)=(1)/(2).log_(7)7sqrt(7sqrt(7))` `7^(x)=(1)/(2)[log_(7)7+(1)/(2)log_(7)7sqrt(7)]` `=(1)/(2)[1+(1)/(2)log_(7)7+(1)/(2)log_(7)sqrt(7)]` `=(1)/(2)[1+(1)/(2)+(1)/(4)]` `7^(x)=(7)/(8)` `x=log_(7)((7)/(8))` `x=log_(7)7-log_(7)8` `x=1-3log_(7)2" "(becauselog_(7)8=log_(7)2^(3))` |
|