SOLUTION: Solve the following equations for the unknown quantity of x. 4^3x+1 = (1/8)^1-x

Algebra ->  Exponents -> SOLUTION: Solve the following equations for the unknown quantity of x. 4^3x+1 = (1/8)^1-x      Log On


   

Question 922303: Solve the following equations for the unknown quantity of x.
4^3x+1 = (1/8)^1-x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equations for the unknown quantity of x.
4^(3x+1) = (1/8)^(1-x)
2^2(3x+1)=2^-3(1-x)
2^(6x+2)=2^(-3+3x)
6x+2=-3+3x
3x=-5
x=-5/3
..
Check:
4^(3x+1)=4^(-5+1)=4^(-4)=2^-8=1/(2^8)
(1/8)^(1-x)=(1/8)^(1+5/3)=(1/(2^3))^(8/3)=1/(2^8)