The value of 3(4log97-1)is Ans is 49/3 I'm getting 62 that is 36 but it is wong - Maths - Relations and Functions

Question

The value of 3(4log97-1)is? Ans is 49/3 I'm
getting 62 that is 36 but it is wong Pls help!

Rishabh Mittal · Accepted Answer

Let y=34log97 - 1Taking log on both sideslog y =log 34log97 - 1log y = 4log97 - 1 log 3log y=4 log 7log 9-1log 3         since logab=log blog alog y =4 log 7 - log 9log 9log 3log y =4 log 7 - log 9log 32log 3log y =4 log 7 - log 92 log 3log 3log y =4 log 72-log 92log y = 2 log 7- log 912log y =log 72-log 3log y =log493so, y= 493   ANS

The value of 3(4log97-1)is? Ans is 49/3. I'm getting 62 that is 36 but it is wong. Pls help!

The value of 3^(4log₉7-1)is? Ans is 49/3. I'm getting 6² that is 36 but it is wong. Pls help!