Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

NEED HELPP! (05.02 MC) Using logarithmic properties, what is the solution to log11(y + 8) + log114 = log1160? Show all necessary steps.

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 visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.