Question

3^3x-6×3^6=3^-3
what is the value of x​

Answer 1

$\huge\underline{\red{Answer}}$

${3}^{3x} - 6 \times {3}^{6} = {3}^{ - 3} \\ = {3}^{3x} - {3}^{2} \times {3}^{6} = {3}^{ - 3} \\ = {3}^{3x} - {3}^{2 + 6} = {3}^{ - 3} \\ = {3}^{3x} - {3}^{8} = {3}^{ - 3} \\ = 3x - 8 = - 3 \\ = 3x = - 3 + 8 \\ = 3x = 5 \\ x = \frac{5}{3}$

Thus x = 5/3