Precalculus Examples

$6 = 2 e^{0.03}$

Step 1

Simplify.

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Step 1.1

Divide each term in $6 = 2 e^{0.03}$ by $2$ .

$\frac{6}{2} = \frac{2 e^{0.03}}{2}$

Step 1.2

Divide $6$ by $2$ .

$3$

Step 1.3

Reduce by cancelling the common factors.

$3 = e^{0.03}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the left side $(3)$ equals the exponent $(0.03)$ .

$\log_{e} (3) = 0.03$