Question

If log₂= x, log₃=y
Find the value of log 60 in terms of x and y?

Answer 1

The value of log 60 in terms of x and y is xy.

Step-by-step explanation:

The question asks for the value of log 60 in terms of x and y, where log₂=x and log₃=y. To find the value of log 60, we need to express it in terms of x and y.

1. Using the property of logarithms, we can express log 60 as (log 2)(log 3)(log 10). Since log₂=x and log₃=y, we substitute these values into the expression to get (x)(y)(log 10).
2. The value of log 10 is known to be 1. Therefore, the expression simplifies to xy.
3. Therefore, the value of log 60 in terms of x and y is xy.