Maths Exponents and Logarithms

Maths Exponents and Logarithms

1. Inverse Operations

   • They are able to undo each other
     • loga(a^x)=x
     • a^loga(x)=x

2. Rules of Logs

   • 1: Multiplication=sum
     • loga(m*n)=loga(m)+loga(n)
     • 2: Division = difference
       • loga(m/n)=loga(m)-loga(n)
       • 3: Negatives
         • loga(1/n)=-loga(n)
         • 4: Exponents
           • loga(m^r)=rloga(m)

3. Graphs:

   • Exponential
     • Logarithmic

4. Changing the Base

   • Change of base rule
   • Useful Property
     • Natural Logarithm Useful Property

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