Precalculus Examples

$4 e^{7 x} = 1184$

Step 1

Simplify.

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Step 1.1

Divide each term in $4 e^{7 x} = 1184$ by $4$ .

$\frac{4 e^{7 x}}{4} = \frac{1184}{4}$

Step 1.2

Divide $1184$ by $4$ .

$296$

Step 1.3

Reduce by cancelling the common factors.

$e^{7 x} = 296$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the right side $(296)$ equals the exponent $(7 x)$ .

$\log_{e} (296) = 7 x$