Precalculus Examples

$\log_{2} (10) - \log_{2} (5) = x$

Step 1

Rewrite the equation as $x = \log_{2} (10) - \log_{2} (5)$ .

$x = \log_{2} (10) - \log_{2} (5)$

Step 2

Simplify $\log_{2} (10) - \log_{2} (5)$ .

Tap for more steps...

Step 2.1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$x = \log_{2} (\frac{10}{5})$

Step 2.2

Logarithm base $2$ of $\frac{10}{5}$ is $1$ .

$x = 1$