Question

Write log 24 in terms of log 2 and log 3.
A) log 3 + 3log 2
B) log 3 + 4log 2
C) log 3 + (log 2)3
D) 2log 3 + 2log 2

Answer 1

Answer:

the answer is a log 3 +3log2

Step-by-step explanation:

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Answer 2

When we write Log 24 in terms of Log 2 and Log 3, the result is:

Log 3 + 3Log 2 (Option A)

Logarithm rule

Log (AB) = Log A + Log B

How to express Log 24 in terms of Log 2 and Log 3.

Log 24 = Log (3 × 8)

Log 24 = Log 3 + Log 8

Recall

8 = 2³

Therefore,

Log 24 = Log 3 + Log 2³

Recall

Log Aⁿ = nLog A

Therefore,

Log 24 = Log 3 + 3Log 2

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