Solve for x 9^x+4^(x+1/2)=4^(x+3/2)-7*3^(2x-2)

$9^{x} + 4^{x + \frac{1}{2}} = 4^{x + \frac{3}{2}} - 7 \cdot 3^{2 x - 2}$

Step 1

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

$x = \frac{3}{2}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{2}$

Decimal Form:

$x = 1.5$

Mixed Number Form:

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

Step 3