Algebra Examples

$\frac{1}{2} x - 1 = {(\frac{1}{3})}^{2 x - 1}$

Step 1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - 1 = {(\frac{1}{3})}^{2 x - 1}$

Step 2

Simplify ${(\frac{1}{3})}^{2 x - 1}$ .

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Step 2.1

Apply the product rule to $\frac{1}{3}$ .

$\frac{x}{2} - 1 = \frac{1^{2 x - 1}}{3^{2 x - 1}}$

Step 2.2

One to any power is one.

$\frac{x}{2} - 1 = \frac{1}{3^{2 x - 1}}$

Step 3

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

$x \approx 2.06431264$

Step 4