Simplify: $$\text{log}_5(3) + \text{log}_5(r) - \text{log}_5(w)$$

$$\text{log}_5igg(\frac{3r}{w}igg)$$

What is the product property of logarithms?

$$\text{log}_b(mn) = \text{log}_b(m) + \text{log}_b(n)$$ .

What is the quotient property of logarithms?

$$\text{log}_bigg(\frac{m}{n}igg) = \text{log}_b(m) - \text{log}_b(n)$$ .

What is the power property of logarithms?

$$\text{log}_b(m^p) = p \times \text{log}_b(m)$$ .

What is the value of $$\text{log}_b(b)$$ ?

1, because any number raised to the power of 1 is itself.

What is the value of $$\text{log}_b(1)$$ ?

0, because any number raised to the power of 0 is 1.

What is the natural logarithm?

The natural logarithm, denoted as $$\text{ln}(x)$$ , is the logarithm to the base e, where e is approximately 2.718.

Evaluate $$\text{ln}(e^5)$$ .

5, because the natural logarithm and the exponential function are inverses.

Exponent/Logarithm Review to start semester 2 Flashcards

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1.

FLASHCARD QUESTION

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x

2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

Front

Define a logarithm.

Back

A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number.

7.

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

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