Finite Math Examples

${(\frac{1}{2})}^{x} = 32$

Step 1

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

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Step 1.1

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

$\frac{1^{x}}{2^{x}} = 32$

Step 1.2

One to any power is one.

$\frac{1}{2^{x}} = 32$

Step 2

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

$x = - 5$

Step 3