3^{x + 5} = 3^{x + 3} + (8/3) হলে, x এর মান কত?

3^{x + 5} = 3^{x + 3} + (8/3)
3^x .3⁵ = 3^x. 3³ + (8/3)
3^x. 3⁵.3 = 3^x. 3³ .3 + (8/3).3
3^x .3⁶ = 3^x. 3⁴ + 8
3^x .3⁶ - 3^x. 3⁴ = 8
3^x. 3⁴(3² - 1) = 8
3^{x + 4} .8 = 8
3^{x + 4} = 1
3^{x + 4} = 3⁰
x + 4 = 0
x = - 4