To solve the equation $2 \log 8 = 3$, let's break it down step-by-step:

1. Divide both sides by 2 to isolate the logarithmic term: $\log 8 = \frac{3}{2}$

2. This equation means: $\log_{10} 8 = \frac{3}{2}$, assuming it's a common logarithm (base 10).

3. Now, recall that $\log_{10} 8 = x$ implies $10^x = 8$.

   So, $10^{\frac{3}{2}} = 8$.

4. Simplify $10^{\frac{3}{2}}$: $10^{\frac{3}{2}} = \sqrt{10^3} = \sqrt{1000}$

   This gives approximately $\sqrt{1000} = 31.62$.

5. Therefore, $31.62 \approx 8$ is false.

Hence, the equation is only valid if it's interpreted in a different logarithmic base, specifically base 2.

Would you like more details, or do you have questions? Here are some related questions for practice:

1. What is the value of $\log_2 8$?
2. How do you convert logarithms of different bases?
3. What does $\log_{10} 1000$ equal?
4. Solve $3 \log 5 = 6$ for $\log 5$.
5. What is the general form of a logarithmic equation?

Tip: When working with logarithms, always verify the base being used (common or natural logarithm).