Precalculus Examples

$300 = 10 (1 - e^{k (800)})$

Step 1

Simplify.

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Step 1.1

Divide each term in $300 = 10 (1 - e^{k (800)})$ by $10$ .

$\frac{300}{10} = \frac{10 (1 - e^{k (800)})}{10}$

Step 1.2

Divide $300$ by $10$ .

$30$

Step 1.3

Reduce by cancelling the common factors.

$30 = e^{k (800)}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the left side $(30)$ equals the exponent $(k (800))$ .

$\log_{e} (30) = k (800)$