How do you solve Log (base 8) 2 = x

Log8 2 = x

by the definition of logs, we can write

8^x = 2

8^ (1/3) = 2

so x = 1/3

or we could solve it by using log to base 10 and use our calculator

log 8^x = log 2

x log 8 = log 2

x = log 2 / log 8 = 0.333 ... = 1/3