For each equation, pick the two consecutive integer values between which the solution falls. a. The solution to the equation 6" = 5500 is greater than and less than because 64 1296 and 65 7776. b. The solution to the equation 3" = 45 is greater than and less than 1 is 100 c. The solution to the equation 5" greater than and less than 1 and 5 125 3 2 because 5 %3| 25 1 d. The solution to the equation 2" is greater 62 than and less than
For each equation, pick the two consecutive integer values between which the solution falls. a. The solution to the equation 6" = 5500 is greater than and less than because 64 1296 and 65 7776. b. The solution to the equation 3" = 45 is greater than and less than 1 is 100 c. The solution to the equation 5" greater than and less than 1 and 5 125 3 2 because 5 %3| 25 1 d. The solution to the equation 2" is greater 62 than and less than
Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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4.8
![**Mathematics: Finding Integer Bounds for Exponential Equations**
For each equation, determine two consecutive integer values between which the solution falls.
a. The solution to the equation \(6^x = 5500\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\) because \(6^4 = 1296\) and \(6^5 = 7776\).
b. The solution to the equation \(3^x = 45\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\).
c. The solution to the equation \(5^x = \frac{1}{100}\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\) because \(5^{-3} = \frac{1}{125}\) and \(5^{-2} = \frac{1}{25}\).
d. The solution to the equation \(2^x = \frac{1}{62}\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a453cf0-4fa7-465e-ab7f-471dd1e543ba%2F7de75ed0-7c7c-4c96-aa81-811705b7b4eb%2F9zw6p0r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics: Finding Integer Bounds for Exponential Equations**
For each equation, determine two consecutive integer values between which the solution falls.
a. The solution to the equation \(6^x = 5500\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\) because \(6^4 = 1296\) and \(6^5 = 7776\).
b. The solution to the equation \(3^x = 45\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\).
c. The solution to the equation \(5^x = \frac{1}{100}\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\) because \(5^{-3} = \frac{1}{125}\) and \(5^{-2} = \frac{1}{25}\).
d. The solution to the equation \(2^x = \frac{1}{62}\) is greater than \(\_\_\_\_\) and less than \(\_\_\_\_\).
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