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Review the properties of logarithms

Properties of logarithms

1.
loga a x = x for any real number x,
2.
aloga x = x for any positive number x.

For positive real numbers m, n, and any real number r, and a > 0 and a 1,
3.
loga 1 = 0,
4.
loga m + loga n = loga (mn),
5.
loga m − loga n = loga (m/n) ,
6.
loga (mr ) = r loga m.

 


 


 

 

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