log b​ 8−2log b​ 2

The expression you provided is in the form of logarithms. Here's how you can simplify it step by step:

1. First, recognize the properties of logarithms. One of them is the power rule, which states that log_b(a^n) = n * log_b(a).

2. Apply the power rule to the second term in your expression: 2 * log_b(2) becomes log_b(2^2) = log_b(4).

3. Now your expression looks like this: log_b(8) - log_b(4).

4. Another property of logarithms is the quotient rule, which states that log_b(a) - log_b(c) = log_b(a/c).

5. Apply the quotient rule to your expression: log_b(8) - log_b(4) becomes log_b(8/4).

6. Simplify the fraction inside the logarithm: log_b(2).

So, the simplified form of your expression "log_b(8) - 2 * log_b(2)" is "log_b(2)".