Solve the equation 23x2 6X The solution is X Round to four

Solve the equation. 2^3x-2 = 6^X The solution is X=. (Round to four decimal places as needed.)

2^3x-2 = 6^x

taking log both sides

3x-2 log 2 = x log 6

(3x - 2)/x = log (6-2)

3 - 2/x = log 4

3 - 2/x = 0.602

3 - 0.602 = 2/x

2.398 = 2/x

x = 2/ 2.398

x = 0.8340