8
lesson pretestMultiple Choice

Pretest

Question 8 • Mathematics III

Maria wrote the equation the log of open paren x over 2 close paren plus the log of open paren the fraction with numerator 20 and denominator x squared close paren is equal to log 8 What is the solution to Maria’s equation?

Answer
A
x is equal to 10 thirds
B
x is equal to 5 fourths
C
x is equal to 3 tenths
D
x is equal to 4 fifths

Explanation

Since the logarithms have the same base, add their arguments: (x/2)(20/x²) = 10/x. Thus log(10/x) = log 8, so 10/x = 8 and x = 10/8 = 5/4. The solution is x equals 5 fourths, choice D.

AI-written and checked against the verified answer.

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