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Rewrite the following expression as a single logarithm with coefficient 1. 3log5 uv2 w3 mc001-1. Jpg mc001-2. Jpg mc001-3. Jpg mc001-4. Jpg.

Respuesta :

Answer:

log5 u^3 v^6/w^9

Explanation:

option D

When we rewrite 3Log (5 uv² / w³) using a coefficient of 1, the result is Log (125u³v⁶ / w⁹)

How to rewrite 3Log (5 uv² / w³) using a coefficient of 1

3Log (5 uv² / w³)

Recall

nLog A = Log Aⁿ

Thus,

3Log (5 uv² / w³) = Log (5uv² / w³)³

Simplifying further, we have

3Log (5 uv² / w³) = Log [5³ (uv²)³ / (w³)³]

3Log (5 uv² / w³) = Log (125u³v⁶ / w⁹)

From the above, we can see that the coefficient of the expression Log(125u³v⁶/w⁹) is 1

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