Finite Math Examples

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

Step 1

Subtract $(x - 5)$ from both sides of the equation.

$\log_{2} (5) - (x - 5) = 0$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$\log_{2} (5) - x - - 5 = 0$

Step 2.2

Multiply $- 1$ by $- 5$ .

$\log_{2} (5) - x + 5 = 0$

Step 3

Reorder terms.

$- x + \log_{2} (5) + 5 = 0$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps...

Step 4.1

Subtract $\log_{2} (5)$ from both sides of the equation.

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

Step 4.2

Subtract $5$ from both sides of the equation.

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

Step 5

Divide each term in $- x = - \log_{2} (5) - 5$ by $- 1$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $- x = - \log_{2} (5) - 5$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- \log_{2} (5)}{- 1} + \frac{- 5}{- 1}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- \log_{2} (5)}{- 1} + \frac{- 5}{- 1}$

Step 5.2.2

Divide $x$ by $1$ .

$x = \frac{- \log_{2} (5)}{- 1} + \frac{- 5}{- 1}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Simplify each term.

Tap for more steps...

Step 5.3.1.1

Dividing two negative values results in a positive value.

$x = \frac{\log_{2} (5)}{1} + \frac{- 5}{- 1}$

Step 5.3.1.2

Divide $\log_{2} (5)$ by $1$ .

$x = \log_{2} (5) + \frac{- 5}{- 1}$

Step 5.3.1.3

Divide $- 5$ by $- 1$ .

$x = \log_{2} (5) + 5$