1. The problem is to solve the equation $x^5 = 95$ and find the value of $x$. 2. To solve for $x$, we use the property of exponents that taking the fifth root of both sides will isolate $x$: $$x = \sqrt[5]{95}$$ 3. The fifth root means the number which, when raised to the power 5, gives 95. 4. We can approximate $\sqrt[5]{95}$ using a calculator or estimation methods. 5. Using a calculator, $\sqrt[5]{95} \approx 2.5119$. 6. Therefore, the solution to the equation $x^5 = 95$ is approximately $$x \approx 2.5119$$. 7. This means $2.5119^5 \approx 95$, confirming our solution.