Pure: Chapter 14 - Log Laws Flashcards

1
Q

What are the 3 Main Log Laws

A

Log a(x) + log a(y) = log a(xy)

Log a(x) - log a(y) = log a(x/y)

Log a(x^k) = k log a(x)

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2
Q

What is log(1/x) equivalent to

A

Log (1/x) = log(x^-1) = -log (x)

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3
Q

What is log a(a) equal to?

A

Log a(a) = 1

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4
Q

What is Log a(1) equal to

A

Log a(1) = 0

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5
Q

What is Log (1/x) equal to?

A

Log (1/x) = log (x^-1) = - log (x)

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6
Q

What should you write this as so there is no fraction the brackets:

Log 2(1/2)

A

Log 2(1/2) = -log 2(3)

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