Answer:
-3
Step-by-step explanation:
Given the expression:
[tex]\log_{2} 8 \times \log_{3}(\frac{1}{3})[/tex]
Determine the value.
[tex]\log_{2} 8 = 3[/tex]
Log base 2 of 8 is 3 because we're simply trying to determine to what power does 2 equal 8. In this case, it would be 3.
[tex]\log_{3}(\frac{1}{3}) = -1 \\[/tex]
Same thing here, to what power does 3 equal to 1/3? That would be -1.
Now, multiply both sides together to get the final value (product).
[tex]3 \times -1 = -3[/tex]
Therefore, the value of the expression of log base 2 of 8 multiplied by log base 3 of 1/3 would be equal to -3.
