bryceelol bryceelol
  • 15-07-2017
  • Mathematics
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Use the change of base formula to evaluate log4 20.

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apologiabiology
apologiabiology apologiabiology
  • 15-07-2017
your calculator probably only evaluates in base 10 (ln is base e but we won't use that today)

so
[tex]log_a(b)=\frac{log_c(b)}{log_c(a)}[/tex]
where c is the new base
so if you wanted in base 10
[tex]log_4(20)=\frac{log_{10}(20)}{log_{10}(4)}[/tex]
using calculator, that is about 2.16096
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