Algebra Examples

$f (x) = \log_{2} (x)$

Step 1

Substitute $1$ for $x$ and find the result for $y$ .

$y = \log_{2} (1)$

Step 2

Solve the equation for $y$ .

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Step 2.1

Remove parentheses.

$y = \log_{2} (1)$

Step 2.2

Logarithm base $2$ of $1$ is $0$ .

$y = 0$

Step 3

Substitute $2$ for $x$ and find the result for $y$ .

$y = \log_{2} (2)$

Step 4

Solve the equation for $y$ .

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Step 4.1

Remove parentheses.

$y = \log_{2} (2)$

Step 4.2

Logarithm base $2$ of $2$ is $1$ .

$y = 1$

Step 5

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ 1 & 0 \\ 2 & 1 \end{array}$

Step 6