Understanding Logarithmic Functions: Definition, Properties, and Rules Explained
In this video, we explore logarithmic functions and their relationship to exponential functions. An exponential function is y = b^x, where b is a positive number not equal to 1. To find the inverse, we use logarithmic functions, where log base b of x is the exponent to which b must be raised to get x. We learn to convert between exponential and logarithmic forms. The video also covers fundamental properties like the product rule (log of a product is the sum of logs) and the quotient rule (log of a quotient is the difference of logs). Understanding these rules helps simplify and solve logarithmic expressions effectively.
- English (UK)
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