Solve for x log of 2x=1.5

$\log (2 x) = 1.5$

Rewrite $\log (2 x) = 1.5$ 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 $b^{y} = x$ .

$10^{1.5} = 2 x$

Solve for $x$ .

Rewrite the equation as $2 x = 10^{1.5}$ .

$2 x = 10^{1.5}$

Divide each term in $2 x = 10^{1.5}$ by $2$ and simplify.

Divide each term in $2 x = 10^{1.5}$ by $2$ .

$\frac{2 x}{2} = \frac{10^{1.5}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{10^{1.5}}{2}$

Divide $x$ by $1$ .

$x = \frac{10^{1.5}}{2}$

Simplify the right side.

Raise $10$ to the power of $1.5$ .

$x = \frac{31.6227766}{2}$

Divide $31.6227766$ by $2$ .

$x = 15.8113883$

Solve for x log of 2x=1.5

Related Questions

Support LCMGCF.com by disabling your adblocker.