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Chapter 5: Q 6. (page 308)

$\log_{a} (\frac{M}{N})$

Short Answer

Expert verified

The obtained result is $\log_{a} M - \log_{a} N$ .

Step by step solution

Step 1. Given Information.

$\log_{a} (\frac{M}{N})$

Step 2. Calculation.

Apply the logarithm division property.

$\begin{array}{rcl} \log_{a} (\frac{M}{N}) & = & (\log_{a} M - \log_{a} N) \\ = & \log_{a} M - \log_{a} N \end{array}$

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Most popular questions from this chapter

In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{2 x + 3}{x + 2}$

Solve the equation $5^{x} = 5^{- 6}$

and verify your results using a graphing utility

the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{x^{2} - 4}{2 x^{2}} x > 0$

Use the graph of $y = f (x)$ given in the Problem $43$ to evaluate the following:

(a) $f (- 1)$

(b) $f (1)$

(d) $f^{- 1} (2)$

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

The function $f (x) = \frac{2 x}{x - 3}$ has $y = 2$ as a horizontal asymptote.

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$\log_{a} (\frac{M}{N})$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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logaMN

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Discrete Mathematics

Decision Maths

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

$\log_{a} (\frac{M}{N})$