Algebra Examples

$\log_{2} (\log_{2} (\sqrt{4 x})) = 1$

Step 1

Simplify $\log_{2} (\log_{2} (\sqrt{4 x}))$ .

Tap for more steps...

Step 1.1

Rewrite $4$ as $2^{2}$ .

$\log_{2} (\log_{2} (\sqrt{2^{2} x})) = 1$

Step 1.2

Pull terms out from under the radical.

$\log_{2} (\log_{2} (2 \sqrt{x})) = 1$

Step 2

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

$x = 4$

Step 3