Suggested languages for you:

Americas

Europe

Problem 12

Given that \(\log 3 \approx 0.4771\) and \(\log 4 \approx\) 0.6021, find the value of each logarithm. $$\log \frac{3}{4}$$

Expert verified

The value of \(\log \frac{3}{4}\) is approximately \(-0.1250\).

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 3

Use logarithms to solve the equation for \(t\). $$\frac{1}{3} e^{-3 t}=0.9$$

Chapter 3

The temperature of a cup of coffee \(t\) min after it is poured is given by $$ T=70+100 e^{-0.0446 t} $$ where \(T\) is measured in degrees Fahrenheit. a. What was the temperature of the coffee when it was poured? b. When will the coffee be cool enough to drink (say, $\left.120^{\circ} \mathrm{F}\right) ?$

Chapter 3

Sketch the graph of the equation. $$y=\log _{1 / 3} x$$

Chapter 3

Write the expression as the logarithm of a single quantity. $$\ln 3+\frac{1}{2} \ln x+\ln y-\frac{1}{3} \ln z$$

Chapter 3

Use the laws of logarithms to expand and simplify the expression. $$\ln \frac{e^{x}}{1+e^{x}}$$

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner