How do you solve $ln5+ln(4-5x)=3$ ?

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Answer 1 · 2017-09-08T14:04:57

$x = [20 - e^3]/25$

We have $ln 5 + ln (4 - 5x) = 3$

Using addition property of logarithms,

$implies ln [5*(4 - 5x)] = 3$
$implies 5*(4 - 5x) = e^3$
$implies 20 - 25x = e^3$
$implies x = [20 - e^3]/25$

How do you solve ln5+ln(4-5x)=3ln5+ln(4-5x)=3?