Precalculus Examples

$1500 = 750 e^{0.075 (9.24)}$

Step 1

Simplify.

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Step 1.1

Multiply $0.075$ by $9.24$ .

$1500 = 750 e^{0.693}$

Step 1.2

Divide each term in $1500 = 750 e^{0.693}$ by $750$ .

$\frac{1500}{750} = \frac{750 e^{0.693}}{750}$

Step 1.3

Divide $1500$ by $750$ .

$2$

Step 1.4

Reduce by cancelling the common factors.

$2 = e^{0.693}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the left side $(2)$ equals the exponent $(0.693)$ .

$\log_{e} (2) = 0.693$