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Use the change of base formula to evaluate log4 20.

asked
User EthanB
by
8.4k points

1 Answer

4 votes
your calculator probably only evaluates in base 10 (ln is base e but we won't use that today)

so

log_a(b)=(log_c(b))/(log_c(a))
where c is the new base
so if you wanted in base 10

log_4(20)=(log_(10)(20))/(log_(10)(4))
using calculator, that is about 2.16096
answered
User Dax Fohl
by
8.7k points

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