1. **State the problem:** We are given the equation $\frac{\log x}{\log 2} = -0.515$ and need to find the value of $x$. 2. **Recall the formula:** The expression $\frac{\log x}{\log 2}$ is the change of base formula for logarithms, which means: $$\frac{\log x}{\log 2} = \log_2 x$$ This tells us that $\log_2 x = -0.515$. 3. **Rewrite the logarithmic equation in exponential form:** $$x = 2^{-0.515}$$ 4. **Calculate the value:** Using a calculator or approximation, $$2^{-0.515} = \frac{1}{2^{0.515}} \approx \frac{1}{1.424} \approx 0.702$$ 5. **Interpretation:** The value of $x$ that satisfies the equation is approximately $0.702$. **Final answer:** $$x \approx 0.702$$