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solve: \\(\\log_{x} 343 = 3\\) \\(x = \\)

Question

solve: \\(\log_{x} 343 = 3\\)
\\(x = \\)

Explanation:

⚡ Using what you learned: Logarithms and Exponential Equations

Step 1: Rewrite in exponential form

$$ \log_{x}(343) = 3 \implies x^3 = 343 $$

Step 2: Solve for \( x \)

$$ x = \sqrt[3]{343} $$
$$ x = 7 $$

Answer:

\( x = 7 \)