Solve for x log of x=-6

$\log (x) = - 6$

Step 1

Rewrite $\log (x) = - 6$ 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 $b^{y} = x$ .

$10^{- 6} = x$

Step 2

Solve for $x$ .

Rewrite the equation as $x = 10^{- 6}$ .

$x = 10^{- 6}$

Simplify $10^{- 6}$ .

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

$x = \frac{1}{10^{6}}$

Raise $10$ to the power of $6$ .

$x = \frac{1}{1000000}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{1000000}$

Decimal Form:

$x = 1 \cdot 10^{- 6}$

Solve for x log of x=-6

Related Questions

Support LCMGCF.com by disabling your adblocker.