Question

3 power m+1 into 3 power m-2 = 3 power10​

Answer 1

Step-by-step explanation:

${3}^{ m + 1} \times {3}^{m - 2} = {3}^{10} \\ \\ {3}^{m + 1 + m - 2} = {3}^{10} \\ \\ {3}^{2m - 1} = {3}^{10}$

Since base is same power will be same

$2m - 1 = 10 \\ \\ 2m = 10 + 1 \\ \\ 2m = 11 \\ \\ m = \frac{11}{2} \\ \\ m = 5.5$

Answer 2

Answer:

3 power m + 1 into 3 power m - 2 = 3 power 10

Answer m = 11/2