How do you evaluate # log_16 57.2#?

1 Answer
Harish Chandra Rajpoot
Jun 24, 2018

1.4594858104727568

Explanation:

Applying the logarithms formula, #\log_{a}b=\frac{\log_{10}a}{\log_{10} b}#

#\log_{16}57.2#

#=\frac{\log_{10}57.2}{\log_{10}16}#

#=\frac{\log_{10}57.2}{4\log_{10}2}#

#=\frac{1.757396028793024}{1.2041199826559246}#

#=1.4594858104727568#

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