Basic Math

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Calculus 1

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Math Video Library Collection

Exponential and Logarithmic Equations
and Inequalities

Video Summary:

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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