Precalculus Examples

$\log (x + 17) = 1$

Step 1

Rewrite $\log (x + 17) = 1$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$10^{1} = x + 17$

Step 2

Solve for $x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as $x + 17 = 10^{1}$ .

$x + 17 = 10$

Step 2.2

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

Tap for more steps...

Step 2.2.1

Subtract $17$ from both sides of the equation.

$x = 10 - 17$

Step 2.2.2

Subtract $17$ from $10$ .

$x = - 7$