To solve $\log_7 343 = x$, we need to determine what power $x$ is, such that $7^x = 343$.

We know that: $343 = 7^3$

Thus, $7^x = 7^3$, which means $x = 3$.

So, the value of $x$ is:

$x = 3$

Would you like any further explanation or details?

Here are 5 related questions:

1. What is the definition of a logarithm?
2. How can you express $\log_b(a) = c$ in exponential form?
3. What are the properties of logarithms that can simplify log equations?
4. How do you solve $\log_7(49)$?
5. How would you solve $\log_2(8) = x$?

Tip: To convert a logarithmic equation into an exponential form, remember that $\log_b(a) = c$ means $b^c = a$.