To solve this equation, we can first use the properties of logarithms to simplify the equation.

Log8(2x+62) = 2 + log8 x
=> log8(2x+62) - log8 x = 2

We can then combine the logarithms using the property log(a) - log(b) = log(a/b)
=> log8((2x+62)/x) = 2

Simplify further to get:
=> log8(2 + 62/x) = 2

Since loga(a) = 1, we can rewrite the equation as:
=> 2 + 62/x = 8^2
=> 2 + 62/x = 64

Subtract 2 from both sides and simplify:
=> 62/x = 62
=> x = 1

Therefore, the solution to the equation is x = 1.