Question

Logbxr = rlogbx , which of the following is equivalent to log₃ 8?

A) log₃ 2 log₃ 2

B) log₃ 3 log₃ 3

C) log₃ 2² log₃ 2²

D) log₃ 3³ log₃ 3³

Answer 1

the correct answer is A)

Answer 2

The equivalent expression for log₃8 is 2*log₃3 or B) log₃3 log₃3.

Step-by-step explanation:

The property of logarithms that states log(x^r) = r*log(x) can be applied to find the equivalent expression for log₃8.

Given that log₃8 is the logarithm of 8 to the base 3, we can rewrite it as log(3^2) = 2*log₃3.

Therefore, the correct equivalent expression for log₃8 is 2*log₃3 or B) log₃3 log₃3.