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Show that $\log_{a}\left(\sqrt[b]{x}\right) = \frac{\log_{a}(x)}{b}$
in Grade 12 Maths by Platinum (110k points) | 36 views

1 Answer

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Apply laws of logs and surd-exponent,

= log x^(1/b)

= (1/b)logx

= (logx)/b , to base a, shown.
by Diamond (80.1k points)

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