Precalculus Examples

$a = 1700 e^{0.066 t}$

Step 1

Simplify.

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Step 1.1

Divide each term in $a = 1700 e^{0.066 t}$ by $1700$ .

$\frac{a}{1700} = \frac{1700 e^{0.066 t}}{1700}$

Step 1.2

Reduce by cancelling the common factors.

$\frac{a}{1700} = e^{0.066 t}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the left side $(\frac{a}{1700})$ equals the exponent $(0.066 t)$ .

$\log_{e} (\frac{a}{1700}) = 0.066 t$