Question

10/3*3^x-1=81, find x

Answer 1

Answer:

x = 3

Step-by-step explanation:

Correct Question is

$\frac{10}{3}\times 3^{x} - 3^{x-1} = 81$

$\frac{10}{3}\times 3^{x} - 3^{x-1} = 81 \\ \\\implies 10 \times3^{x-1} - 3^{x-1} = 81 \\ \\\implies 3^{x-1} (10 - 1) = 81 \\ \\\implies 3^{x-1} (9) = 81 \\ \\\implies 3^{x-1} = 9 \\ \\ \implies 3^{x-1} = 3^2 \\ \\ \implies x - 1 = 2 \\ \\ \implies x = 3$

x = 3

By correcting the question we get the value of x = 3 as a solution.