Properties of Logarithm (2).notebook
Properties of Logarithms (cont'd)
5) loga xy = loga x + loga y
Ex: log 100 = log 10 + log 10
x
6) loga = log
a x ­ loga y
y
Ex: log 100
= log 100 ­ log 10
10
7) loga xn = n loga x
Ex: log 102 = 2log 10
November 16, 2016
Properties of Logarithm (2).notebook
Ex: Express the following logarithms as a sum or difference of logarithms.
1) log(xy) = xy2
2) log( ) = 4
Ex: Express the following expressions as a single logarithm.
1) 2log(x) + 7log(y) ­ 3log(x+1) = 2) 2ln(x) ­ 3ln(x2) ­ ln(2x+1) =
November 16, 2016