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Simplify the logarithm log8 512=​
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Simplify the logarithm log8 512=​

User Erikprice
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Write 8 and 512 as powers of 2:


8=2^3


512=2^9=(2^3)^3

So we have


\log_8512=\log_(2^3)(2^3)^3=3\log_(2^3)2^3=3

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