Algebra Examples

$4 {(\frac{1}{2})}^{x - 1} = 5 x + 2$

Step 1

Simplify $4 {(\frac{1}{2})}^{x - 1}$ .

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Step 1.1

Simplify the expression.

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Step 1.1.1

Apply the product rule to $\frac{1}{2}$ .

$4 \frac{1^{x - 1}}{2^{x - 1}} = 5 x + 2$

Step 1.1.2

One to any power is one.

$4 \frac{1}{2^{x - 1}} = 5 x + 2$

Step 1.2

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

$\frac{4}{2^{x - 1}} = 5 x + 2$

Step 2

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

$x \approx 0.63226229$

Step 3