Question #bb7e8

2 Answers
Apr 18, 2017

x=e^2-8 where e=2.718

Explanation:

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

Apr 18, 2017

Alternate approach:
x=e^2-8

Explanation:

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