Here you will learn some logarithm examples for better understanding of logarithm concepts. Example 1 : If \(log_e x\) – \(log_e y\) = a, \(log_e y\) – \(log_e z\) = b & \(log_e z\) – \(log_e x\) = 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 …
Here you will learn what are the properties of logarithms and fundamental identities of logarithm with examples. Let’s begin – Every positive real number N can be expressed in exponential form as \(a^x\) = N where ‘a’ is also a positive real number different than unity and is called the base and ‘x’ is called …
Here you will learn logs change of base formula in logarithm and logarithmic inequalities with example. Let’s begin – Logs Change of Base Formula – Base Changing Theorem It can be stated as “quotient of the algorithm of two numbers is independent of their common base.” Symbolically, \(log_b m\) = \(log_a m \over log_a b\), …
