Solve for x log of 5-x=0.5

$\log (5 - x) = 0.5$

Step 1

Rewrite $\log (5 - x) = 0.5$ 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 $b^{y} = x$ .

$10^{0.5} = 5 - x$

Step 2

Solve for $x$ .

Rewrite the equation as $5 - x = 10^{0.5}$ .

$5 - x = 10^{0.5}$

Raise $10$ to the power of $0.5$ .

$5 - x = 3.16227766$

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

Subtract $5$ from both sides of the equation.

$- x = 3.16227766 - 5$

Subtract $5$ from $3.16227766$ .

$- x = - 1.83772233$

Divide each term in $- x = - 1.83772233$ by $- 1$ and simplify.

Divide each term in $- x = - 1.83772233$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 1.83772233}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 1.83772233}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 1.83772233}{- 1}$

Simplify the right side.

Divide $- 1.83772233$ by $- 1$ .

$x = 1.83772233$

Solve for x log of 5-x=0.5

Related Questions

Support LCMGCF.com by disabling your adblocker.