Question

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

Answer 1

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