সপ্তম অধ্যায়ঃ লগরিদম
Properties of Logarithm
1. If [tex] y = a^x [/tex], then [tex] \log_a y = x [/tex]. → Definition of logarithm
2. [tex] \log_a xy = \log_a x + \log_a y [/tex]
3. [tex] \log_a \dfrac{x}{y} = \log_a x - \log_a y [/tex]
4. [tex] \log_a x^n = n \log_a x [/tex]
5. [tex] \log_a a = 1 [/tex]
6. [tex] \log_a 1 = 0 [/tex]
7. [tex] \log_{10} x = \log x [/tex] → Common logarithm
8. [tex] \log_e x = \ln x [/tex] → Naperian or natural logarithm
9. [tex] \log_y x = \dfrac{\log x}{\log y} = \dfrac{\ln x}{\ln y} [/tex] → Change base rule
10. If [tex] \log_a x = \log_a y [/tex], then [tex] x = y [/tex].
11. If [tex] \log_a x = y [/tex], then [tex] x = anti\log_a y [/tex].
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