Logarithm: Formula and Properties

To perform logarithmic operations and to solve different mathematical and engineering programs using logarithm there are some formula and properties, which are used. In this section, we will learn about the formal and properties of logarithm.

  • log_{{a}} (xy) = log_{{a}} x + log_{{a}} y
  • log_{{a}} (\frac{x}{y}) = log_{{a}} x – log_{{a}} y
  • log_{{a}} x = \frac{1}{log_{x} a}
  • log_{{a}} x = \frac{log_{x}}{log_{a}}
  • log_{{a}}a = 1
  • log_{{a}}1 = 0
  • log_{{a}} x^{n} = n log_{{x}}x

These are the formula to use to solve logarithmic problems.
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