Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Using logarithmic properties, the solution to the given logarithmic equation is y = 7
Solving Logarithmic equations
From the question, we are to determine the solution to the given equation
The given equation is
[tex]log_{11}(y+8) + log_{11}(4) = log_{11}(60)[/tex]
Applying the product law of logarithms, we get
[tex]log_{11}(y+8) \times (4) = log_{11}(60)[/tex]
This gives
[tex]log_{11}(4y+32) = log_{11}(60)[/tex]
Applying the equality law of logarithm, we get
[tex]4y + 32 = 60[/tex]
[tex]4y = 60-32[/tex]
[tex]4y =28[/tex]
∴ y = 28/4
y = 7
Hence, the solution to the given logarithmic equation is y = 7
Learn more on Solving logarithmic equations here: https://brainly.com/question/237323
#SPJ1
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
