How do you simplify $ln(5e^6)$ ?

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Answer 1 · 2017-05-01T09:32:38

$ln(5e^6) = ln(5)+6$

Note that if $a, b > 0$ then

$ln(ab) = ln(a)+ln(b)$

Also note that for any real value of $x$ :

$ln(e^x) = x$

So:

$ln(5e^6) = ln(5) + ln(e^6) = ln(5)+6$

How do you simplify ln(5e^6)ln(5e^6)?