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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
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