How do you solve #1-2lnx=-4#?

2 Answers
Apr 29, 2018

Solution : #x ~~12.18#

Explanation:

#1 -2 ln x = -4 or -2 ln x = -4 -1# or

#-2 ln x = -5 or ln x =5/2 or ln x = 2.5#

# :. x = e^2.5 ~~12.18(2 dp)#

Solution :#x ~~12.18# [Ans]

Apr 29, 2018

#e^(5/2)~=12.1824#

Explanation:

#1-2lnx=-4#

#-2lnx=-4 color(red)( -1)=-5#

#lnx=(-5)/(color(red)(-2))#

#lnx=5/2#

#color(green)(log_(a)c=b#

#color(green)(c=a^b#

#x=e^(5/2)~=12.1824#