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17-01-2018
Mathematics

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If logm512=3 log m ⁡ 512 = 3 , what is the value of m m ?

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mathmate mathmate

17-01-2018

log_m(512)=3
By the definition of logarithms,
m^3=512
=>
m=8 (8^3=8*64=512, or m=(512^(1/3))=8

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