Find t such that: 2. 3 = 7.5*. In 7–In 2 A) t = In 5–In 3 In 2-In 7 In 5–In 3 B) t = C) t = In 7+ln 2 In 3–ln 5 In 2–In 7 In 5+ln 3 D) t = In 7+ln 2 E) t = In 5+ln 3

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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Find \( t \) such that:

\[ 2 \cdot 3^t = 7 \cdot 5^t. \]

Options:

A) \( t = \frac{\ln 7 - \ln 2}{\ln 5 - \ln 3} \)

B) \( t = \frac{\ln 2 - \ln 7}{\ln 5 - \ln 3} \)

C) \( t = \frac{\ln 7 + \ln 2}{\ln 3 - \ln 5} \)

D) \( t = \frac{\ln 2 - \ln 7}{\ln 5 + \ln 3} \)

E) \( t = \frac{\ln 7 + \ln 2}{\ln 5 + \ln 3} \)
Transcribed Image Text:Find \( t \) such that: \[ 2 \cdot 3^t = 7 \cdot 5^t. \] Options: A) \( t = \frac{\ln 7 - \ln 2}{\ln 5 - \ln 3} \) B) \( t = \frac{\ln 2 - \ln 7}{\ln 5 - \ln 3} \) C) \( t = \frac{\ln 7 + \ln 2}{\ln 3 - \ln 5} \) D) \( t = \frac{\ln 2 - \ln 7}{\ln 5 + \ln 3} \) E) \( t = \frac{\ln 7 + \ln 2}{\ln 5 + \ln 3} \)
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