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

1 Answer

Sep 8, 2017

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

Explanation:

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#

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