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 => log_a x = log_bx / log_ba

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"

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