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# Algebra

Khan Academy, , Prof. Salman Khan

Updated On 02 Feb, 19

##### Overview

Contents:
Simple Equations - Equations - Linear Equations - Solving Inequalities - graphing lines - Slope and Y - intercept intuition - Slope - Equation of a line - Slope and Y-intercept Intuition - Averages - Integer sums -Taking percentages - Growing by a percentage - Another Percent Word Problem - More percent problems - systems of equations - Introduction to Ratios - Ratio problem with basic algebra - More advanced ratio problem - with Algebra

Alternate Solution to Ratio Problem - Introduction to Ratios - Advanced ratio problems - Age word problems - multiplying expressions - Solving a quadratic by factoring - i and Imaginary numbers - Complex Numbers - Introduction to the quadratic equation - Quadratic Equation - Completing the square - Quadratic Formula - Quadratic Inequalities - Introduction to functions - Functions - Domain of a function - Proof: log a + log b = log ab-Proof: A(log B) = log (B^A), log A - log B = log (A/B) - Proof: log_a (B) = (log_x (B))/(log_x (A))-Algebraic Long Division-Introduction to Conic Sections-Conic Sections: Intro to Circles

## Lecture 47: Proof log_a (B) = (log_x (B))(log_x (A))

4.1 ( 11 )

###### Lecture Details

Proof of the logarithm property
log_a (B) = (log_x (B))(log_x (A))

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