Algebra II Recipe: Changing a Logarithmic Equation to an Exponential Equation

Equation

Since log_bx = y is equivalent to b^y = x a logarithmic equation can be expressed as an exponential equation.

A. Given log₂8 = 3

1. The base (2) is the b.
2. The (3) is the y.
3. The (8) is the x.
4. Exponential Equation —› 2³ = 8

B. Given log₁₀100 = 2

1. The base (10) is the b.
2. The (2) is the y.
3. The (100) is the x.
4. Exponential Equation —› 10² = 100

C. Given log₁₀0.001 = -3

1. The base (10) is the b.
2. The (-3) is the y.
3. The (0.001) is the x.
4. Exponential Equation —› 10^-3 = 0.001

Practice Problems