Question

10/3*3 to the power x - 3 to the power x-1 =81 then find the value of x ​

Answer 1

Step-by-step explanation:

(10/3) * 3^(x) - 3^(x - 1) = 81

10 * 3^(-1) * 3^(x) - 3^(x - 1) = 81

10 * 3^(x - 1) - 3^(x - 1) = 81

(10 - 1) * 3^(x - 1) = 81

9 * 3^(x - 1) = 81

3^(x - 1) = 81/9

3^(x - 1) = 9

3^(x - 1) = 3^2

x - 1 = 2

x = 3