Calculus Examples

$14 = 20 - 15 {(\frac{2}{3})}^{\frac{t}{25}}$

Step 1

Simplify each term.

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Step 1.1

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

$14 = 20 - 15 \frac{2^{\frac{t}{25}}}{3^{\frac{t}{25}}}$

Step 1.2

Combine $- 15$ and $\frac{2^{\frac{t}{25}}}{3^{\frac{t}{25}}}$ .

$14 = 20 + \frac{- 15 \cdot 2^{\frac{t}{25}}}{3^{\frac{t}{25}}}$

Step 1.3

Move the negative in front of the fraction.

$14 = 20 - \frac{15 \cdot 2^{\frac{t}{25}}}{3^{\frac{t}{25}}}$

Step 2

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

No solution