17
practice testMultiple Choice

Practice Test

Question 17 • Mathematics III

What is the solution of the natural log of open paren x plus 6 close paren minus natural log 9 is equal to 2 ? Round your answer to the nearest hundredth.

Answer
A
x is equal to 60 point 5 0
B
x is equal to 66 point 5 0
C
x is equal to 72 point 5 0
D
x is equal to 53 point 5 0

Explanation

Use the logarithm rule ln(a) − ln(b) = ln(a/b): ln((x + 6)/9) = 2. Exponentiating both sides gives (x + 6)/9 = e², so x = 9e² − 6 ≈ 60.5015. Rounded to the nearest hundredth, x = 60.50, which is choice D.

AI-written and checked against the verified answer.

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