SOLUTION: Solve for x: (8+x)^-5=64

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Question 986384: Solve for x:
(8+x)^-5=64

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
(8+x)^-5=64
-5 ln (8+x)=ln64
-5 ln (8+x)=4.15888 (don't round)
divide by -5 both sides
ln(8+x)=-0.83178
raise both sides to the e power
8+x=0.43527
x=-7.565
check
0.43527^-5=64
=============
-5 log 2 (8+x)=6, taking log 2 of both sides
log 2 (8+x)=-1.2
raise to the 2 power
8+x=0.43527

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