We have to find the value of log(8)4.

Let log(8) 4 = x

=> 4 = 8^x

=> 2^2 = 2^3^x

=> 2^2 = 2^3x

As the base is the same, we equate the exponent

=> 3x = 2

=> x = 2/3

The required value is log(8) 4 = 2/3

We need to find the values of log8 (4)

We will use logarithm properties to solve.

We know that:

loga b = logc b/ logc a

Then we will rewrite:

log8 4 = log2 4 / log2 8

Now we will simplify:

==> log8 4 = log2 2^2 / log2 2^3

==> log8 4 = 2log2 2 / 3log2 2

But log2 2 = 1

==> log8 4 = 2/3