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25 votes
25 votes
Expand the logarithm. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW! ​

Expand the logarithm. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW! ​-example-1
User Poode
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

  • d) log₉ (10) + log₉ (11) + 6 log₉ (3)

Explanation:

Use the following identities:

  • log (abc) = log a + log b + log c
  • log aᵇ = b log a

Solve the given:

  • log₉(10*11*3⁶) =
  • log₉ (10) + log₉ (11) + log₉ (3⁶) =
  • log₉ (10) + log₉ (11) + 6 log₉ (3)

Correct choice is d

User Stratwine
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2.7k points