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Express each logarith in terms of log2 M and Log2 N.


Express Each Logarith In Terms Of Log2 M And Log2 N class=

Sagot :

A. Express each logarithm in terms of log₂ M and Log₂ N.

Answer:

1) log₂ M⁶ N³ → 6N³ log₂ (M)

2) log₂ (MN)⁴ → 4log₂ (NM)

3) log₂ M√N → log₂ (M) + log₂ (√N)

4) log₂ ∛M² N → 2log₂ (∛M) + log₂ (N)

5) log₂ M⁴/N³ →  4log₂ (M) - 3log₂ (N)

6) log₂ (M/N)⁷ → 7log² (M/N)

7) log₂ √M/N³ → 1/2 (log₂ (M) - 3log₂ (N))

8) log₂ 1/MN → -(log₂ (M) + log₂ (N))

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