Algebra Examples

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

Step 1

Choose any value for $x$ that is in the domain to plug into the equation.

Step 2

Choose $1$ to substitute in for $x$ to find the ordered pair.

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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 2.3

Use the $x$ and $y$ values to form the ordered pair.

$(1, 0)$

Step 3

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Step 3.1

Remove parentheses.

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

Step 3.2

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

$y = 1$

Step 3.3

Use the $x$ and $y$ values to form the ordered pair.

$(2, 1)$

Step 4

Choose $3$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

$y = \log_{2} (3)$

Step 4.2

Use the $x$ and $y$ values to form the ordered pair.

$(3, \log_{2} (3))$

Step 5

These are three possible solutions to the equation.

$(1, 0), (2, 1), (3, \log_{2} (3))$

Step 6