10
QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 10 • Mathematics III

What is the approximate value of x in the equation? the log base 5 of 15 is equal to x plus 3

Answer
A
2 point 8 8 0
B
negative 2 point 5 2 3
C
negative 1 point 3 1 7
D
7 point 4 8 5

Explanation

Subtract 3 from both sides: x = log₅(15) − 3. Since 5¹ = 5 and 5² = 25, log₅(15) is about 1.683, so x ≈ 1.683 − 3 = −1.317. The approximate value is negative 1.317, choice A.

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