Solve for x 1/4(10^(-2x))-25*10^x=0

$\frac{1}{4} (10^{- 2 x}) - 25 \cdot 10^{x} = 0$

Step 1

Combine $\frac{1}{4}$ and $10^{- 2 x}$ .

$\frac{10^{- 2 x}}{4} - 25 \cdot 10^{x} = 0$

Step 2

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

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.\overline{6}$

Step 4