Open in App
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Chapter 3: Chapter 3

Problem 10

Next question

Express each equation in logarithmic form. $$16^{-1 / 4}=0.5$$

Short Answer

Expert verified
The logarithmic form of the given equation is \(\log_{16}(0.5) = -\frac{1}{4}\).
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Try Premium for free

Over 22 million students worldwide already upgrade their learning with Vaia!

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Identify the Base, Exponent, and Result

In the given equation \(16^{-1 / 4}=0.5\), the base is 16, the exponent is \(-1/4\), and the result is 0.5.

Step 2: Apply the Logarithmic Form

According to the logarithmic form, we can rewrite the equation as: $$\log_{base}(result) = exponent$$ So, we will replace the base, exponent, and result with their corresponding values.

Step 3: Rewrite the Equation in Logarithmic Form

Using the values from the given equation, our logarithmic equation becomes: $$\log_{16}(0.5) = -\frac{1}{4}$$ So, the logarithmic form of the given equation is \(\log_{16}(0.5) = -\frac{1}{4}\).

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • 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
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 3

Use the definition of a logarithm to prove $$ \log _{b} m^{n}=n \log _{b} m $$
Chapter 3

During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after \(t\) days was given by $$ Q(t)=\frac{1000}{1+199 e^{-0.8 t}} $$ a. How many children were stricken by the flu after the first day? b. How many children had the flu after 10 days?
Chapter 3

Express each equation in logarithmic form. $$3^{5}=243$$
Chapter 3

The length (in centimeters) of a typical Pacific halibut \(t\) yr old is approximately $$ f(t)=200\left(1-0.956 e^{-0.18 t}\right) $$ What is the length of a typical 5 -yr-old Pacific halibut?
Chapter 3

Use the laws of logarithms to solve the equation. $$\log _{2} x-\log _{2}(x-2)=3$$
See all solutions

More chapters from the book ‘Applied Mathematics: For the Managerial, Life, and Social Sciences’

See all chapters

Join over 22 million students in learning with our Vaia App

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
Join over 22 million students in learning with our Vaia App
Create your free account now
Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Math

Probability and Statistics

Read Explanation
Math

Geometry

Read Explanation
Math

Calculus

Read Explanation
Math

Pure Maths

Read Explanation
Math

Statistics

Read Explanation
Math

Decision Maths

Read Explanation
View all explanations