SOLUTION: what is the value of log8 4

Let x = log84

Use the principle that the log equation  is
equivalent to the exponential equation 

8x = 4

Write 8 as 23 and 4 as 22

(23)x = 22

Remove the parentheses on the left by multiplying the
exponent inside the parentheses, 3, by the exponent outside
the parentheses x

23x = 22

Now we use the principle that if  and B is positive
and not equal to 1, then 

3x = 2

      2
 x = ———
      3

Edwin