2 years ago

What is the value of log279? -3/2, -2/3, 2/3, 3/2

Mathematics

1 answer:

kaheart [24]2 years ago

3 0

Answer:

2/3

Step-by-step explanation:

log27(9)

Factor the number: 27=3³

= log3³(9)

Apply log rule: loga^b(x) - 1/b loga(x).

log3³(9) =1/3 log3³(9)

=1/3 log3³(9)

Factor the number: 9=3²

=1/3 log3³(3²)

Apply log rule: loga(a^b) =b

log3 (3²) =2

1/3×2

=2/3

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