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Monday, July 26, 2010

change of base formula

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.