log₂x + log₂ (2x² + 5x − 14) = log5 125
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve the problem using the text. Make sure restrictions are stated.
![Solve the given equation for x. Make sure to state any restrictions and ignore any
extraneous/inadmissible solutions. Express final answers in exact form (no decimals).
In the interest of saving time when you are determining your restrictions, the solutions to
2x² + 5x - 14 = 0 are 1.7 and -4.2. (You do not need to show this, but these numbers will b
needed as you state your restrictions)
•
• Hint 1: Take note that the base of the logarithms on the left and right side are differen
Hint 2: This will require polynomial division. If you cannot find a factor that will divi
into your polynomial (within the possibilities of +1,2,3,4), then state you can't find a
factor, and in the line below, change the constant to whatever number you need to cha
it to so that it will factor (positive or negative) by one of those numbers and just facto
log₂ x + log₂ (2x² + 5x −14) = log5 125](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9128737b-1a20-4574-99db-a46bfa05ff7a%2F61d21365-b324-4dc3-9ee9-a70e8b4f4ac6%2Fklgs1ma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the given equation for x. Make sure to state any restrictions and ignore any
extraneous/inadmissible solutions. Express final answers in exact form (no decimals).
In the interest of saving time when you are determining your restrictions, the solutions to
2x² + 5x - 14 = 0 are 1.7 and -4.2. (You do not need to show this, but these numbers will b
needed as you state your restrictions)
•
• Hint 1: Take note that the base of the logarithms on the left and right side are differen
Hint 2: This will require polynomial division. If you cannot find a factor that will divi
into your polynomial (within the possibilities of +1,2,3,4), then state you can't find a
factor, and in the line below, change the constant to whatever number you need to cha
it to so that it will factor (positive or negative) by one of those numbers and just facto
log₂ x + log₂ (2x² + 5x −14) = log5 125
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