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Express the given expression as an integer or as a fraction in simplest form. (8^(log_(8)3)) Answer:

Express the given expression as an integer or as a fraction in simplest form.\newline(8log⁡83) \left(8^{\log _{8} 3}\right) \newlineAnswer:

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Full solution

Q. Express the given expression as an integer or as a fraction in simplest form.\newline(8log⁡83) \left(8^{\log _{8} 3}\right) \newlineAnswer:
  1. Apply logarithm property: Apply the property of logarithms that states alog⁡a(b)=ba^{\log_a(b)} = b, where aa is the base of the logarithm and bb is the argument of the logarithm.\newlineIn this case, a=8a = 8 and b=3b = 3.\newlineTherefore, 8log⁡83=38^{\log_{8}3} = 3.

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