Aus Online Mathematik Brückenkurs 1
Before we even start thinking about transforming \displaystyle \log_2 and \displaystyle \log_3 to ln, we use the log laws
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to simplify the expression
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With help of the relation \displaystyle 2^{\log_{2}x} = x and \displaystyle 3^{\log_{3}x} = x and taking the natural logarithm , we can express \displaystyle \log_{2} and \displaystyle \log_{3} using ln,
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The two terms \displaystyle \log_3 118 and \displaystyle \log_3\log_2 3 can therefore be written as
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where we can simplify the last expression further with the logarithm law, log (a/b) = log a – log b, and then transform \displaystyle \log _{3} to ln,
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In all, we thus obtain
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Input into the calculator gives
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Note: The button sequence on the calculator will be:
