Solve by Graphing log of x+48+ log of x=2

$\log (x + 48) + \log (x) = 2$

Step 1

Simplify $\log (x + 48) + \log (x)$ .

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log ((x + 48) x) = 2$

Apply the distributive property.

$\log (x \cdot x + 48 x) = 2$

Multiply $x$ by $x$ .

$\log (x^{2} + 48 x) = 2$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 2$

Step 3