Khan Academy Static

Interpreting_formulas_of_basic_exponential_functions

Learn how to analyze the formulas of basic exponential functions in order to find their common ratio, initial value, and other parameters.

Advanced_interpretation_of_exponential_models_Algebra_2_level_

Learn how to interpret an exponential modeling function by first manipulating it according to your needs. For example, rewrite 5^(2x+1) as 5*25^x to find that the unit growth factor is 25.

Constructing_basic_exponential_models

Learn how to construct exponential functions to model real-world situations.

The_constant_e_and_the_natural_logarithm_Algebra_2_level_

Learn about a very special constant in math that has a pivotal role in the world of exponential and logarithmic function, the constant e.

Solving_exponential_models_Algebra_2_level_

Learn how to solve word problems that require exponential equations.

Properties_of_logarithms_Algebra_2_level_

Learn about special properties of logarithms that help us rewrite logarithmic expressions in different equivalent (much like we use properties of exponents to rewrite exponential expressions!).

Introduction_to_logarithms_Algebra_2_level_

Learn how we define logarithms and use this definition in order to evaluate various logarithms. For example, evaluate log_2(8) as 3 by realizing that 2^3=8.

Interpreting_graphs_and_tables_of_basic_exponential_functions

Learn how to analyze the graphs, or tables of values, of basic exponential functions in order to find their common ratio, initial value, and other parameters.

Introduction_to_exponential_growth_and_decay

Learn about exponential growth and decay, and specifically how it always grows (or diminishes) by equal factors.

Introduction_to_rational_exponents_and_radicals

In this tutorial you will learn about radicals and about rational exponents and practice how to change back and forth from these two types of notation.

Interpreting_the_rate_of_change_of_exponential_models_Algebra_2_level_

Learn how to analyze exponential modeling functions in order to find their rate of change.

The_change_of_base_formula_for_logarithms_Algebra_2_level_

Learn how to rewrite any logarithmic expression in a different base. For example, rewrite log_2(3) as ln(3)/ln(2). This is very helpful for evaluating logarithms with a calculator, which only evaluates base-10 and base-e logarithms.

Graphs_of_exponential_functions_Algebra_2_level_

Learn about the graphs of advanced exponential functions of the form y=a*b^(x+c)+d.

Constructing_exponential_models_according_to_rate_of_change_Algebra_2_level_

Learn how to find the modeling function of an exponential real world context, according to the description of its rate of change.

End_behavior_and_graphs_of_basic_exponential_functions

Learn how an exponential function behaves as the value of its input increases to positive infinity or decreases to negative infinity. Learn how to graph basic exponential functions.

Solving_exponential_equations_using_properties_of_exponents

Learn how to solve advanced exponential equations by manipulating the expressions in the equations using the properties of exponents. For example, solve 2^(x+1)=8^x by rewriting 8^x as 2^(3x) and then equating x+1=3x.

Distinguishing_between_linear_and_exponential_growth_Algebra_2_level_

Learn how to analyze real-world quantitative relationships given as tables of values to determine whether they represent linear growth or exponential growth.

Solving_exponential_equations_with_logarithms_Algebra_2_level_

Learn how to solve any exponential equation by using logarithms. For example, solve 2^x=3 by calculating log_2(3).

Simplifying_numerical_radical_expressions

In this tutorial you will simplify numerical expressions with radicals by removing all factors that are perfect squares from inside the radical.

Equivalent_forms_of_exponential_expressions

Learn how to manipulate exponential expressions in different ways. For example, rewrite 8^x as 2^(3x).

Introduction_to_rate_of_exponential_growth_and_decay

Learn about different ways of describing the rate of change of exponential functions.

Graphs_of_logarithmic_functions_Algebra_2_level_

Learn about the graphs of logarithmic functions, and how they relate to graphs of exponential functions.

Logarithmic_equations_Algebra_2_level_

Learn how to solve equations that contain logarithmic expressions. For example, solve log(x)+log(3)=log(7).

Logarithmic_scale_Algebra_2_level_

Enrich your knowledge with some videos about logarithmic scales and how useful they are.

Solving_basic_exponential_models

Learn how to construct exponential functions and then analyze them to model and solve real-world problems.

Comparing_exponential_and_polynomial_functions

Learn how distinguish between linear and exponential growth, and learn the differences between the end behavior of polynomial and exponential functions.

Rational_exponents_and_the_properties_of_exponents

In this tutorial you will rewrite variable expressions with rational exponents and radicals using the properties of exponents.