Question 2.50: Evaluate 4,632.71 × 251.07 using logs....

Using the [LOG] function key on a calculator

log 4,632.71 = 3.6658351
   log 251.07 = 2.3997948

Thus

using the [10^x] function key.
The principle is therefore to put all numbers to be multiplied together in log form, add the logs, and then evaluate. To divide, one index is subtracted from the other, e.g.

10 ^{2.5}  ÷  10^{1.5}  =  10^{2.5  −  1.5}  =  10^1  =  10

and so logs are subtracted.