5
practice examMultiple Choice

Practice Exam

Question 5 • Algebra II

The two expressions have the same value when rounded to the nearest hundredth. the log base 5 of b the log base 9 of 48 What is the approximate value of log b to the nearest hundredth?

Answer
A
1 point 2 3
B
0 point 9 3
C
9 point 1 6
D
65 point 5 3

Explanation

Since the expressions have the same value, log₅ b = log₉ 48 ≈ 1.76. This means b ≈ 5^1.76, so log b (the common logarithm) ≈ 1.76 × log 5 ≈ 1.76 × 0.699 ≈ 1.23. The approximate value is 1.23, choice A.

AI-written and checked against the verified answer.

Previous
Next