Algebra Examples

$\frac{1}{e^{4}} = 0.0183$

Step 1

Simplify.

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Step 1.1

Multiply each term in $\frac{1}{e^{4}} = 0.0183$ by $1$ .

$\frac{1}{e^{4}} \cdot 1 = 0.0183 \cdot 1$

Step 1.2

Multiply $0.0183$ by $1$ .

$0.0183$

Step 1.3

Reduce by cancelling the common factors.

$e^{4} = 0.0183$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the right side $(0.0183)$ equals the exponent $(4)$ .

$\log_{e} (0.0183) = 4$