Log Formulas

About Log Formulas

Let us first define logs before studying log formulas (logarithms). Exponents are written in a logarithmic format. We employ logarithms when we can't solve an issue using exponents. The rules of exponents can be used to derive a variety of logarithm formulas.

What do you mean by Log Formulas?

Let's deal with a few things before we go into the log formulas. There are two forms of logarithms: common logarithms (written as "log") and natural logarithms (whose base is 10 if not specified) (which is written as "ln" and its base is always "e"). For common logarithms, the formulas are presented below. They are, nevertheless, all relevant to natural logarithms.

log formula

Some of these laws have special names, such as the product formula of logs, which is logb (xy) = logb x + logb y.

Similarly, all of the properties are listed here, along with their names.

Product Formula of logarithms

The product formula of logs is, logb(xy) = logb x + logb y.

Quotient Formula of logarithms

The quotient formula of logs is, logb (x/y) = logb x - logb y.

Power Formula of Logarithms

The power formula of logarithms says logb ax = x logb a.

Change of Base Formula of Logarithms

The change of base formula of logs says logb a = (logb a) / (logb b).

Download the pdf of List of Log Formula

Log Formulas

Related Links

Frequently Asked Questions on Log Formulas