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Using Properties of Logarithms

Using Properties of Logarithms 1.10 - Solution

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a

The base 1010 and the common logarithm are each others inverses and, thus, undo each other. 10log(5)=5 10^{\log(5)}=5

b
Cancel the base and logarithm before adding.
10log(63)+10log(2)10^{\log(63)}+10^{\log(2)}
10log(m)=m10^{\log(m)}=m
63+263+2
6565
c
Cancel the base and logarithm before multiplying.
10log(6)10log(3)10^{\log(6)}\cdot10^{\log(3)}
10log(m)=m10^{\log(m)}=m
636\cdot3
1818