Algebra Examples

$2 + \log (x) = 0$

Step 1

Subtract $2$ from both sides of the equation.

$\log (x) = - 2$

Step 2

Rewrite $\log (x) = - 2$ 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 $b^{y} = x$ .

$10^{- 2} = x$

Step 3

Solve for $x$ .

Tap for more steps...

Step 3.1

Rewrite the equation as $x = 10^{- 2}$ .

$x = 10^{- 2}$

Step 3.2

Simplify $10^{- 2}$ .

Tap for more steps...

Step 3.2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$x = \frac{1}{10^{2}}$

Step 3.2.2

Raise $10$ to the power of $2$ .

$x = \frac{1}{100}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{100}$

Decimal Form:

$x = 0.01$