Conversion from Indice Form to Logarithmic Form
How to Interpret both Forms
Indices are repeated multiplication. 2³ should be interpreted as WHAT is 2 multiplied by itself 3 times? or 2 × 2 × 2?
Logarithms are the inverse of of Indices. log₂8 should be interpreted as 2 to the power of WHAT gives me 8?
Use the applet below to see if you can evaluate logarithms without the use of the calculator?
In particular, there are 2 special bases that the calculator is able to compute. They are the common logarithm (Base = 10) and natural logarithm (Base = e ≈ 2.718281828). See table below.
Use the applet below to explore how the Indice Form and Logarithmic Form is related.