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.

Question 5) Simplify: Log54Log6432Log425

Answered: 5) Simplify (Log , 4)(Log 64 32)(Log ,…

Math

Calculus

5) Simplify (Log , 4)(Log 64 32)(Log , 25)

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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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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