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Write 4 4 + 2 5 - 15 as a single logarithm.

Question

Write $4 lo g 4 + 2 lo g 5 - lo g 15$ as a single logarithm.

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Write

4 lo g 4 + 2 lo g 5 - lo g 15

as a single logarithm.

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Text solutionVerified

4 lo g 4 + 2 lo g 5 - lo g 15

\Rightarrow

lo g 256 + lo g 25 - lo g 15

\Rightarrow

lo g (\frac{256 \times 25}{15})

\Rightarrow

lo g (\frac{6400}{15})

\Rightarrow

lo g (\frac{1280}{3})

∴ 4 lo g 4 + 2 lo g 5 - lo g 15 = lo g (\frac{1280}{3})

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Question Text	Write $4 lo g 4 + 2 lo g 5 - lo g 15$ as a single logarithm.
Answer Type	Text solution:1
Upvotes	150