Logarithm

Logarithm Examples

Here you will learn some logarithm examples for better understanding of logarithm concepts. Example 1 : If \(log_e x\) โ€“ \(log_e y\) = a, \(log_e y\) โ€“ \(log_e z\) = b & \(log_e z\) โ€“ \(log_e x\) = c, then find the value of \(({x\over y})^{b-c}\) \(\times\) \(({y\over z})^{c-a}\) \(\times\) \(({z\over x})^{a-b}\). Solution : \(log_e โ€ฆ

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What are the Properties of Logarithms

Here you will learn what are the properties of logarithms and fundamental identities of logarithm with examples. Letโ€™s begin โ€“ Every positive real number N can be expressed in exponential form as \(a^x\) = N where โ€˜aโ€™ is also a positive real number different than unity and is called the base and โ€˜xโ€™ is called โ€ฆ

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Logs Change of Base Formula | Logarithm

Here you will learn logs change of base formula in logarithm and logarithmic inequalities with example. Letโ€™s begin โ€“ Logs Change of Base Formula โ€“ Base Changing Theorem It can be stated as โ€œquotient of the algorithm of two numbers is independent of their common base.โ€ Symbolically, \(log_b m\) = \(log_a m \over log_a b\), โ€ฆ

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