# The anti log tables

69.31\times 57.43

Is the same as 10^1.8408\times 10^1.7591 (see previous pages)

This equals 10^3.5999

So how do we convert 10^3.5999 back to a normal number?

We can either use

1.  Anti log tables

or

2.  log tables in reverse

## Anti log tables

Anti log 10^3.5999

Anti logs only work between 0 and 1

10^3.5999 = 10^3\times10^0.5999

10^3 = 1000

And we must look up 0.5999

Here is part of the anti log tables:

3.972 + 8  (to the last digit) = 3.980

Anti log table of 0.5999 = 3.980

So 10^3.5999 = 10^3\times 10^0.5999

Or 10^3.5999 = 1000\times 3.980

 = 3980

NOTE:

There is one other way to look up the anti log figure if you don’t have an anti log table and that is to use the log tables in reverse.

Anti log tables = Log tables in reverse

## Anti log of 0.5999 but using log tables in reverse

Here is part of the log tables:

0.5999 = 3.980

(So this provides the same answer)