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Solution 3.3:4c

From Förberedande kurs i matematik 1

Revision as of 14:58, 25 September 2008 by Ian (Talk | contribs)
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All three arguments of the logarithm can be written as powers of 3,

2731=3331=3331=31=391=132=32


and it is therefore appropriate to use base 3 when simplifying using the logarithms, even if we have the base 10 logarithm, lg,


lg2731+2lg3+lg91=lg3+21lg3+lg32=lg3+21lg3+2lg3=1+212lg3=21lg3


This expression cannot be simplified any further.