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The document discusses logarithmic functions and their relationship to exponential functions. Specifically, it notes that logarithmic functions are the inverse of exponential functions. It also outlines some key characteristics of logarithmic functions, such as their domain being x > 0 and range being (-∞, ∞), with an asymptote of x = 0. The document provides sketches of common logarithmic function graphs such as f(x) = logb(x), f(x) = -logb(x), and f(x) = logb(c).
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The document discusses logarithmic functions and their relationship to exponential functions. It states that a logarithmic function is the inverse of an exponential function. It provides the domain and range for both exponential and logarithmic functions, as well as their asymptotes. The document also discusses how to sketch graphs of common logarithmic functions like f(x) = log2x, f(x) = -logx, and f(x) = log5x.
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The logarithmic function is the inverse of an exponential function. Log functions have the domain of x > 0 and range from negative infinity to positive infinity, with the asymptote at x = 0. Exponential functions have the domain from negative infinity to positive infinity and range of y > 0, with the asymptote at y = 0. Logarithmic and exponential functions are inverses of each other, with the graphs of log functions reflecting the graphs of exponential functions across the line y = x.
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3) This allows individual consciousness from every activity to funnel into cosmic consciousness, making namasmaran a culmination or "yoga of yoga" that can benefit people of any tradition or belief.
D H A R M A A N D C O S M I C D Y N A M I C S D R
This document discusses the relationship between microcosmic and macrocosmic phenomena in the universe and how human perception and cognition create a sense of separation from the true nature of existence. It argues that this separation manifests as struggles, conflicts and unrest on both individual and societal levels. Dharma represents emulating the harmony of the cosmic orchestra by accurately identifying and fulfilling one's role. Practicing namasmarn, or remembrance of the divine name, is presented as a means to realize one's connection to the core of nature and blossom into a state of objective existence free from subjectivity and in harmony with the universe.
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Sub notes 2
- 1. The Logarithmic Function log are the same However a log function is the inverse of an exponential
- 2. How to get the log function formula from y = 2 Switch x with y ii) Rewrite as y=... Log function = is the inverse of an exp. function
- 3. Characteristics of Exponential Function Log Function Domain: (- , ) Domain: x > 0 Range: y > 0 Range: (- , ) Asymptote: y = 0 Asymptote: x = 0
- 4. Sketch Graphs f(x) = log f(x) = log
- 5. f(x) = - log f(x) = log