Precalculus Examples

$f (x) = 3 + {(\frac{1}{10})}^{x}$

Step 1

Set $3 + {(\frac{1}{10})}^{x}$ equal to $0$ .

$3 + {(\frac{1}{10})}^{x} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the product rule to $\frac{1}{10}$ .

$3 + \frac{1^{x}}{10^{x}} = 0$

Step 2.1.2

One to any power is one.

$3 + \frac{1}{10^{x}} = 0$

Step 2.2

Subtract $3$ from both sides of the equation.

$\frac{1}{10^{x}} = - 3$

Step 2.3

Multiply both sides of the equation by $10^{x}$ .

$1 = 10^{x} (- 3)$

Step 2.4

Move $- 3$ to the left of $10^{x}$ .

$1 = - 3 \cdot 10^{x}$

Step 2.5

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

No solution