SOLUTION: 4^inx=8, find the value of x.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4^inx=8, find the value of x.      Log On


   

Question 973018: 4^inx=8, find the value of x.
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4^inx=8, find the value of x.
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If you mean
4%5E%28ln%28x%29%29+=+8
Notice it's ln for natural log, not in.
ln%28x%29%2Aln%284%29+=+ln%288%29
ln(x) = ln(8)/ln(4) = 3ln(2)/(2ln(2))
ln(x) = 3/2
x+=+e%5E%283%2F2%29

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
4^lnx =8
2^2lnx =2^3
2 ln x =3
ln x = 3/2
raise everything to e power, because e^lnx =x
e^ln x= e ^(3/2)
x=4.48
check
4^ln (4.48)= 4^ 1.5 = 4^(3/2)=8.