Express log23−log64+21log16 as a single logarithm.

log23−log64+21log16=log23−log26+21log24=3log2−6log2+24log2=3log2−6log2+2log2=−log2 ∴log23−log64+1/2log=−log2

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Express log ,2^3 - log ,64 + {1}{2} ,log ,16 as a single logar

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Express $l o g 2^{3} - l o g 64 + \frac{1}{2} l o g 16$ as a single logarithm.

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Express

l o g 2^{3} - l o g 64 + \frac{1}{2} l o g 16

as a single logarithm.

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7 mins ago

l o g 2^{3} - l o g 64 + \frac{1}{2} l o g 16

= l o g 2^{3} - l o g 2^{6} + \frac{1}{2} l o g 2^{4}

= 3 l o g 2 - 6 l o g 2 + \frac{4}{2} l o g 2

= 3 l o g 2 - 6 l o g 2 + 2 l o g 2

= - l o g 2

∴ l o g 2^{3} - l o g 64 + 1/2 l o g = - l o g 2

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Question Text	Express $l o g 2^{3} - l o g 64 + \frac{1}{2} l o g 16$ as a single logarithm.
Answer Type	Text solution:1
Upvotes	150