6
QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 6 • Mathematics III

What is the approximate value of x in the equation? the log base 3 fourths of 25 is equal to 3 x minus 1

Answer
A
0 point 9 5 5
B
0 point 3 0 4
C
negative 0 point 7 0 8
D
negative 3 point 3 9 6

Explanation

Use the change-of-base formula: log base 3/4 of 25 = ln(25)/ln(3/4), which is approximately -11.19. Then solve -11.19 = 3x - 1: add 1 and divide by 3 to get x ≈ -3.40. The closest choice is negative 3.396, choice B.

AI-written and checked against the verified answer.

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