Properties of Logarithms

$\rhd$ Intro to logarithm properties (1 of 2) (9:15) Examples illustrating the properties $\log_BA+\log_BC=\log_B(AC)$ and $\log_BA-\log_BC=\log_B\left(\dfrac{A}{C}\right).$
$\rhd$ Intro to logarithm properties (2 of 2) (10:04) Examples illustrating the properties $A\cdot\log_BC=\log_B\left(C^A\right)$ and $\log_BA=\dfrac{\log_CA}{\log_CB}$ (change of base formula). This video also shows how to find $\log_2 \left(\sqrt{\dfrac{32}{\sqrt 8}}\right).$
* Practice Type of problem: (scroll down)
- Find $\log_2(3a)$ .
- Condense $\log_5(2y)+\log_5(8)$ .
- Expand $\log_b\left(\dfrac{4}{c}\right)$ .
- Condense $\log(3z)-\log(8)$ .
- Expand $\log_7(x^5)$ .
- Condense $6\ln y$ .
- + challenge problems
$\rhd$ Using the properties of logarithms: multiple steps (2:09) Simplify $\log_5\dfrac{25^x}{y}$ .

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The OpenLab at City Tech:A place to learn, work, and share

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