3log b​ 2−log b​ 8

The given expression is 3log_b(2) - log_b(8).

Step 1: We know that log_b(a^n) = n*log_b(a). So, we can rewrite the expression as follows:

3log_b(2) - log_b(2^3)

Step 2: Now, we can simplify the expression using the rule of logarithms:

3log_b(2) - 3log_b(2)

Step 3: Subtract the two terms:

0

So, the value of the given expression is 0.