Learning Materials
Features
Discover
Chapter 3: Problem 18
Find a number \(t\) such that \(\log _{2} t=8\).
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
Show that $$ 2^{10 n}=(1.024)^{n} 10^{3 n} $$ [This equality leads to the approximation $$ \left.2^{10 n} \approx 10^{3 n} \cdot\right] $$
Suppose \(f\) is a function with exponential decay. Explain why the function \(g\) defined by \(g(x)=\frac{1}{f(x)}\) is a function with exponential growth.
Is the function \(f\) defined by \(f(x)=2^{x}\) for every real number \(x\) an even function, an odd function, or neither?
Explain why every function \(f\) with exponential growth can be represented by a formula of the form \(f(x)=c \cdot 2^{k x}\) for appropriate choices of c and \(k\).
Suppose \(x\) is a positive number and \(n\) is a positive integer. Using only the definitions of roots and integer powers, explain why $$ \left(x^{1 / 2}\right)^{n}=\left(x^{1 / 4}\right)^{2 n}. $$
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine