How do you solve $e^{x} = 4$ $e^x=4$ ?

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Answer 1 · 2016-06-25T19:51:12

The solution is $x = 1.38$ $x=1.38$

The operation inverse of the exponential is the logarithm.
Then we apply the natural logarithm ( $ln$ $ln$ ) on both sides of the equation:

$e^{x} = 4$ $e^x=4$

$ln (e^{x}) = ln (4)$ $ln(e^x)=ln(4)$

$x = ln (4) \approx 1.38$ $x=ln(4)\approx1.38$ .

How do you solve ex=4e^x=4 ?