Which of the following is not a property of logarithms? $$\ln(A)\ln(B)=\ln(A+B)$$

The statement $$\ln(A)\ln(B)=\ln(A+B)$$ is not a property of logarithms.

Expand the logarithmic expression: $$4\ln\left(\frac{a^3}{b^2}\right)$$

The expanded form is $$12\ln(a) - 8\ln(b)$$ .

What is the change of base formula for logarithms?

The change of base formula is $$\log_b(a) = \frac{\log_k(a)}{\log_k(b)}$$ for any base $$k$$ .

What is the product property of logarithms?

The product property states that $$\log_b(MN) = \log_b(M) + \log_b(N)$$ .

What is the quotient property of logarithms?

The quotient property states that $$\log_b\left(\frac{M}{N}\right) = \log_b(M) - \log_b(N)$$ .

What is the power property of logarithms?

The power property states that $$\log_b(M^p) = p \cdot \log_b(M)$$ .

If $$\log_b(x) = y$$ , what is the equivalent exponential form?

The equivalent exponential form is $$b^y = x$$ .

What is the value of $$\log_{10}(100)$$ ?

The value of $$\log_{10}(100)$$ is 2.

What is the value of $$\log_{2}(8)$$ ?

The value of $$\log_{2}(8)$$ is 3.

What is the significance of a logarithm being equal to zero?

If $$\log_b(x) = 0$$ , then $$x = 1$$ .

Logarithms Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the domain of the common logarithm?

Back

2.

FLASHCARD QUESTION

Front

What relationship do logarithms and exponentials have?

Back

Logarithms and exponentials are inverse operations.

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