Let us learn about "change of base formula" The solving change of base formula is known as formulas which it permits us to rework a logarithm by means of the logs that may be is written with different base.
The change of base formula is given by,
Log a x = log b x / log b a
Here, assume that a, b and x are positive where a≠1 and b≠1.
Problem
Solve log 16 32
Change of base formula => loga x = logbx / logba
log 16 32 = log 2 32 / log 2 16
= 5 / 4
Thus a formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e.
In our next blog we shall learn "how to simplify radicals"
I hope the above explanation was useful.Keep reading and leave your comments.
