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Using Properties of Logarithms

Exponential and Logarithmic Functions

Using Properties of Logarithms 1.10 - Solution

Return to Using Properties of Logarithms

a

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

b

Cancel the base and logarithm before adding.

10^{\log(63)}+10^{\log(2)}

10^{\log(m)}=m

63+2

AddTermsAdd terms

65

c

Cancel the base and logarithm before multiplying.

10^{\log(6)}\cdot10^{\log(3)}

10^{\log(m)}=m

6\cdot3

MultiplyMultiply

18