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stellarik [79]
2 years ago
10

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

steps.
Mathematics
1 answer:
irinina [24]2 years ago
6 0

Using logarithmic properties, the solution to the given logarithmic equation is y = 7

<h3>Solving Logarithmic equations</h3>

From the question, we are to determine the solution to the given equation

The given equation is

log_{11}(y+8) + log_{11}(4) = log_{11}(60)

Applying the product law of logarithms, we get

log_{11}(y+8) \times (4) = log_{11}(60)

This gives

log_{11}(4y+32)  = log_{11}(60)

Applying the equality law of logarithm, we get

4y + 32 = 60

4y = 60-32

4y =28

∴ y = 28/4

y = 7

Hence, the solution to the given logarithmic equation is y = 7

Learn more on Solving logarithmic equations here: brainly.com/question/237323

#SPJ1

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