Exponential and Logarithmic Functions
The exponential function and its graph, exponential growth and decay, exponential equations, logarithms and the laws of logarithms, logarithmic equations, and the logarithmic function as the inverse of the exponential. Algebra 2 / upper-secondary level.
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Available exercises
Graph and Properties of the Exponential Function
From the formula y = aΛ£, decide whether the function is increasing or decreasing, find its range and asymptote, and match the formula to its graph.
Exponential Growth and Decay
Word problems on compound interest, population growth, bacteria and radioactive decay with a half-life.
Exponential Equations
Solve exponential equations: same base, rewriting as a power of the same number, and substitution.
Logarithm β Definition and Evaluation
Evaluate logarithms from the definition, solve simple equations with a logarithm and find an unknown base.
Laws of Logarithms
Use the product, quotient and power rules, write an expression as a single logarithm and change the base.
Logarithmic Equations
Solve logarithmic equations with domain conditions: from the definition, using the laws of logarithms and by substitution.
Logarithmic Function and the Graph of the Inverse
Properties of the function y = logβ x, matching a formula to its graph, and the logarithmic function as the inverse of the exponential.