Saturday, December 19, 2009

Change of Base Formula

This formula can help us find the solutions to questions like:

2x = 10 or log2(10) = x


logbx =
logax / logab

To get the answer using your calculator quickly, assume that a = 10.

This is because all the log buttons on our calculators are already based 10.

Using the formula we get:

x = log10 / log2

x = 3.322

Knowing this formula can be very useful, because in many questions it

Acts as a safety net if other methods fail.

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