Solve for x 2 log of 2x+5=4

$2 \log (2 x + 5) = 4$

Divide each term in $2 \log (2 x + 5) = 4$ by $2$ and simplify.

Divide each term in $2 \log (2 x + 5) = 4$ by $2$ .

$\frac{2 \log (2 x + 5)}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 \log (2 x + 5)}{2} = \frac{4}{2}$

Divide $\log (2 x + 5)$ by $1$ .

$\log (2 x + 5) = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$\log (2 x + 5) = 2$

Rewrite $\log (2 x + 5) = 2$ 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 $b^{y} = x$ .

$10^{2} = 2 x + 5$

Solve for $x$ .

Rewrite the equation as $2 x + 5 = 10^{2}$ .

$2 x + 5 = 10^{2}$

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

$2 x + 5 = 100$

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

Subtract $5$ from both sides of the equation.

$2 x = 100 - 5$

Subtract $5$ from $100$ .

$2 x = 95$

Divide each term in $2 x = 95$ by $2$ and simplify.

Divide each term in $2 x = 95$ by $2$ .

$\frac{2 x}{2} = \frac{95}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{95}{2}$

Divide $x$ by $1$ .

$x = \frac{95}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{95}{2}$

Decimal Form:

$x = 47.5$

Mixed Number Form:

$x = 47 \frac{1}{2}$

Solve for x 2 log of 2x+5=4

Related Questions

Support LCMGCF.com by disabling your adblocker.