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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 \( b^c = a \).

Learn how to solve the logarithmic equation log_7 343 = x, where the base is 7 and 343 is expressed as a power of 7. This step-by-step solution breaks down logarithmic identities and exponential functions, suitable for students in Grades 9-11.

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