SOLUTION: 4^(-3X+1)*16^(-X)=1^(-10)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4^(-3X+1)*16^(-X)=1^(-10)      Log On


   

Question 471596: 4^(-3X+1)*16^(-X)=1^(-10)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
4^(-3X+1)*16^(-X)=1^(-10)
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4^(-3X+1)*16^(-X)=1^(-10)=1
take log of both sides
(-3x+1)log4+(-xlog16)=log1=0
-3xlog4+log4-xlog16=0
x(-3log4-log16)=-log4
x=-log4/-(3log4+log16)
x=.2
Check:
4^(-3X+1)*16^(-X)=1^(-10)=1
4^(-3*.2+1)*16^(.2)
4^-.4*1.7411
.5743*1.7411=1.000