Friday, October 3, 2014

Calculate without using calculator: log 25 + log 40

Calculate without using a calculator log 25 + log
40


On of the rules of logarithms says that the sum of two
logs is equal to the log of the product of the two numbers -
therefore


log 25+log 40 = log (25*40) = log
1000


Since these logrithms are base 10 we want to write
1000 as 10 raised to some number and the number it is raised to is the
answer.


since 10*10=100 and 100*10=1000 we know
1000=10^3


This means that log 1000 = 3 and therefore that
log 25+log 40=3

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