Answer:
B
Step-by-step explanation:
Given the expression:
[tex]log_{1/2} 462 [/tex]
we want to find an equivalent expression.
Change of base formula:
[tex]log_{a} b = \frac{log b}{log a} [/tex]
where log means logarithm with base 10, also known as common logarithm.
Then, the expression of the problem is transformed into:
[tex]log_{1/2} 462 = \frac{log 462}{log (1/2)} [/tex]