Properties of Logarithmic and Exponential Functions

For b > 0 and b 1,

if and only if x = y.

If x > 0 and y > 0, then logb x = logb y if and only if x = y. Type I Exponential Equations

Solved in Section 5.2

Easily written as powers of same base

i.e. 125x = 5x

Type 2 Exponential Equations

Cannot be easily written as powers of same base

i.e 7x = 12

General strategy: take the logarithm of both sides and apply the power rule to eliminate variable exponents.

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