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i. \\(\\log_{8} 27 - \\log_{8} x = \\log_{8} 3\\)

Question

i. \\(\log_{8} 27 - \log_{8} x = \log_{8} 3\\)

Explanation:

Step1: Apply log subtraction rule

$\log_{8}\frac{27}{x} = \log_{8}3$

Step2: Equate arguments of logs

$\frac{27}{x} = 3$

Step3: Solve for x

$x = \frac{27}{3} = 9$

Answer:

$x=9$