Question #bb7e8

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Answer 1 · 2017-04-18T20:36:45

#x=e^2-8# where # e=2.718#

#ln (( x + 8)^(1/2)) = 1 #

As #ln(e)=1#,

#ln (( x + 8)^(1/2)) = ln(e) #

#( x + 8)^(1/2)=e# #:.# (If #lna=lnb#, then #a=b#)

Squaring both sides,

#x+8=e^2#

#rArr x=e^2-8#

Answer 2 · 2017-04-18T23:32:16

Alternate approach:
#x=e^2-8#

Raise everything to the power of #e#. Doing this will cancel the #ln#:

#sqrt(x+8)=e#

Square both sides:

#x+8=e^2#

Solve for #x#:

#x=e^2-8#