To write $7^3 = 343$ in logarithmic form, we need to express this exponential equation in terms of a logarithm.

The general form for converting $a^b = c$ to logarithmic form is: $\log_a c = b$

Applying this to $7^3 = 343$, we get: $\log_7 343 = 3$

So, the logarithmic form is: $\log_7 343 = 3$

Would you like further clarification on logarithmic form?

Here are five related questions for further practice:

1. Convert $5^4 = 625$ to logarithmic form.
2. Write $2^6 = 64$ in logarithmic form.
3. Convert $10^3 = 1000$ to a logarithmic equation.
4. How would you express $4^5 = 1024$ as a logarithmic statement?
5. Rewrite $8^2 = 64$ using logarithms.

Tip: Remember, in the expression $\log_a b = c$, $a$ is the base, $b$ is the result, and $c$ is the exponent.