Facts about Logarithm
Some common facts about logarithm are:
- Logarithm generally can be of three types,
- Common Logarithm: Base 10, denoted as log x or log10 x
- Natural Logarithm: Base e, denoted as ln x or loge x
- Binary Logarithm: Base 2, denoted as log2 x
- log 1 in any base is always 0 i.e., loga 1 = 0
- Logarithm of a with same base as a is always 1 i.e., loga a = 1.
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Derivative of Log x: Formula and Proof
Derivative of log x is 1/x. Log x Derivative refers to the process of finding change in log x function to the independent variable. The specific process of finding the derivative for log x functions is referred to as logarithmic differentiation. The function log x typically refers to the natural logarithm of x, which is the logarithm to the base e, where e is Euler’s number, approximately equal to 2.71828.
Let’s know more about Derivative of Log x formula and proof in detail below.
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