Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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---
### Problem Set
**5) Simplify:**
\[
(\log_5 4)(\log_{64} 32)(\log_4 25)
\]
**6) Solve:**
\[
\log (x^{\log x}) = 9
\]
**7) Solve:**
\[
\log (x + 3) = \log (x - 2) + \log 2
\]
**8) Problem:**
A \(100^\circ F\) hot object is brought into a room that is at \(60^\circ F\).
(Note: This problem appears to be a setup for a larger question on thermodynamics or Newton's Law of Cooling, but more details would be needed.)
---
Feel free to explore the mathematical concepts involved in each problem, such as properties of logarithms and techniques for solving logarithmic equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7bfde65-f228-4aa5-b485-e443d3b4afbd%2F99605f32-39bc-4dcb-be49-49787f567152%2Fuig21a_processed.png&w=3840&q=75)
Transcribed Image Text:Here's the transcription and description suitable for an educational website:
---
### Problem Set
**5) Simplify:**
\[
(\log_5 4)(\log_{64} 32)(\log_4 25)
\]
**6) Solve:**
\[
\log (x^{\log x}) = 9
\]
**7) Solve:**
\[
\log (x + 3) = \log (x - 2) + \log 2
\]
**8) Problem:**
A \(100^\circ F\) hot object is brought into a room that is at \(60^\circ F\).
(Note: This problem appears to be a setup for a larger question on thermodynamics or Newton's Law of Cooling, but more details would be needed.)
---
Feel free to explore the mathematical concepts involved in each problem, such as properties of logarithms and techniques for solving logarithmic equations.
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