8
QuizMultiple Choice

Properties of Logarithms

Question 8 of 10 • CR - Algebra 2 26-27 - S2

The table shows a student’s proof of the quotient rule for logarithms.Let M = bx and N = by for some real numbers x and y. StepReason1Given2Substitution3Properties of logarithms4Logarithm property logb(bc) = c5SubstitutionWhat is the error in the proof?

Question illustration
Answer
A
The error is in step 3. The reason should be the quotient property of exponents.
B
The error is in step 3. You cannot use a property of logarithms to prove that same property.
C
The error is in step 2. The reason should be the quotient property of exponents.
D
The error is in step 5. The student did not convert from exponential to logarithmic form correctly when solving for x and y.
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