Question

please solve the question given in the image attached​

Answer 1

${\star{\red{\boxed{\bold{\boxed{Answer}}}}}}{\star}$

${\pink{-3/4}}$

⭐${\blue{Explanation}}$⭐

${3}^{2m-3}$ = ${729}^{m}$

Because 729 is cube of 9 so it can be written as⬇️

${3}^{2m-3}$ = ${9}^{3m}$

So it becomes,

${3}^{2m-3}$ = ${9}^{3m}$

Also we know that 9 is square of 3, so it becomes ⬇️⬇️➡️➡️

${3}^{2m-3}$ = ${3}^{6m}$

Here bases have become same, so powers will also be same, so it becomes

2m - 3 = 6m

2m - 6m = 3

-4m = 3

m = -3/4

$<marquee>HOPE IT HELPS...✌✌✌✨✨✔✔</marquee>$