Question

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

Answer 1

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

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

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

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