Trigonometry Examples

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

Step 1

Rewrite the equation as $3 {(\frac{2}{3})}^{x} + 1 = y$ .

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

Step 2

Simplify each term.

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Step 2.1

Apply the product rule to $\frac{2}{3}$ .

$3 \frac{2^{x}}{3^{x}} + 1 = y$

Step 2.2

Combine $3$ and $\frac{2^{x}}{3^{x}}$ .

$\frac{3 \cdot 2^{x}}{3^{x}} + 1 = y$

Step 3

Subtract $1$ from both sides of the equation.

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