Trigonometry Examples

${(\frac{16}{9})}^{x + 1} = {(\frac{3}{4})}^{x - 1}$

Step 1

Apply the product rule to $\frac{16}{9}$ .

$\frac{16^{x + 1}}{9^{x + 1}} = {(\frac{3}{4})}^{x - 1}$

Step 2

Apply the product rule to $\frac{3}{4}$ .

$\frac{16^{x + 1}}{9^{x + 1}} = \frac{3^{x - 1}}{4^{x - 1}}$

Step 3

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

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

Step 4