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Revision of the exponential function and the exponential laws and graph of the function defined by \(y = {b^x}\) where \(b > 0\) and \(b \ne 1\).
Understand the definition of a logarithm: \(y = {\log _b}x \Leftrightarrow x = {b^y}\) , where \(b > 0\) and \(b \ne 1\).
The graph of the function define \(y = {\log _b}x\) for both the cases
Learn the concepts:
Up until now, finding the value of a variable in the exponent has been difficult and done by trial and error when it is not an integer. Logarithms are the accurate method we use to find these values. They are also the inverse function of an exponential function.