Question

logarithm evaluate (816.3)(37.42)

Answer 1

Given: The term (816.3)(37.42)

To find: The value using logarithm.

Solution:

• Now we have provided with the term (816.3)(37.42).

• Let (816.3)(37.42) = y

                y = 816.3 x 37.42

• Now using log on both sides, we get:

                log(y) = log(816.3 x 37.42)

• Now we know the identity:

                log(ab) = loga + logb

• So applying this, we get:

                log(y) = log(816.3) + log(37.42)

                log(y) = 4.48499

                y = antilog (4.48499)

                y = 30542.2

Answer:

                 So the value of (816.3)(37.42) is 30542.2