Question

solving a logarithmic equation
solve: \\(\log_{x} 343 = 3\\)
\\(x = \square\\)

Explanation:

Step1: Convert log to exponential form

Recall $\log_b a = c \iff b^c = a$. So:
$x^3 = 343$

Step2: Find cube root of 343

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

Answer:

$7$