Algebra II Recipe: Changing a Logarithmic Equation to an Exponential Equation
By G Redden
EquationSince logbx = y is equivalent to by = x a logarithmic equation can be expressed as an exponential equation.
A. Given log28 = 3
- The base (2) is the b.
- The (3) is the y.
- The (8) is the x.
- Exponential Equation —› 23 = 8
B. Given log10100 = 2
- The base (10) is the b.
- The (2) is the y.
- The (100) is the x.
- Exponential Equation —› 102 = 100
C. Given log100.001 = -3
- The base (10) is the b.
- The (-3) is the y.
- The (0.001) is the x.
- Exponential Equation —› 10-3 = 0.001
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