Question

Which is equivalent to log1/2462

A log1/2462/log4621/2

B log462/log1/2

C log 1/2 / log462

Answer 1

B

Explanation:

Given the expression:

`log_(1/2) 462`

we want to find an equivalent expression.

Change of base formula:

`log_(a) b = (log b)/(log a)`

where log means logarithm with base 10, also known as common logarithm.

Then, the expression of the problem is transformed into:

`log_(1/2) 462 = (log 462)/(log (1/2))`