Use the properties of logarithms to solve.
-
A) -5
B) 2, - 5
C) 6
D) 2

Question

Use the properties of logarithms to solve.
-
A) -5 
B) 2, - 5 
C) 6 
D) 2

Quizplus · Accepted Answer

Using the properties of logarithms, we have:

log(base 4) (8x^2) = log(base 4) (4) + log(base 4) (2x^2)

2 + log(base 4) (x^2) = log(base 4) (4) + log(base 4) (2) + log(base 4) (x^2)

2 + log(base 4) (x^2) = 1 + 1 + log(base 4) (x^2)

2 + log(base 4) (x^2) = 2 + log(base 4) (x^2)

log(base 4) (x^2) = 0

x^2 = 4^0

x^2 = 1

x = ±1

Therefore, the correct answer is D) 2.

Use the Properties of Logarithms to Solve