Logarithmic Expressions

$\rhd$ Introduction to Logarithms (7:01) Gives the definition of the logarithm after giving several examples such as $2^x = 8$ is equivalent to $\log_2 8 = 3$ . What power do I need to raise $2$ to in order to get $8$ ? Three. Several examples, including $\log_x 1 = 0$ for all bases.
$\rhd$ and $\star$ together! Really it’s an interactive text document covering similar material to the above video, but requiring input from the user.
$\star$ Evaluate a logarithm such as $\log_5 125$ .
$\rhd$ Evaluating logarithms (more advanced) (4:20)
Includes $\log_2 8$ , $\log_8 2$ , $\log_2 \frac{1}{8}$ , and $\log_8 \frac{1}{2}.$
$\star$ Evaluate a logarithm (more advanced practice) such as $\log_{\frac{1}{2}} 32$ .
$\rhd$ Relationship between exponentials and logarithms (1:42)
Sal rewrites $100= 10^2$ as $\log_{10} 100 = 2$ and $\log_{5}$ $\frac{1}{125}$ = -3 as $5^{-3} = \frac{1}{125}$ .
$\rhd$ Relationship between exponentials and logarithms: graphs (4:10)
Deducing equations of exponentials and logarithms from their graphs.
$\rhd$ Relationship between exponentials and logarithms: tables (5:58)
Given incomplete tables of values of $b^x$ and its corresponding inverse function, $\log_b (y)$ , Sal uses the inverse relationship of the functions to fill in the missing values.
$\star$ Relationship between exponentials and logarithms.
Students are asked to solve various problems that focus on the relationship between $a^x = b$ and $\log_a(b) = x$

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

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