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1/2^x=4√2
4√2=2^2*2^1/2=2^(2 1/2)=(1/2)^(-2 1/2)
1/2^x=1/2 ^(-2 1/2)
x= - 2 1/2
b) 3√3^x=9
3√3=3*3^1/2=3^(1 1/2)
3^(1 1/2)x=3^2
1 1/2 x=2 /:3/2
x=4/3
c) √2/2^x=8√2
√2/2=2^1/2 :2=2^(-1/2)
8√2=2^4*2^1/2=2^(4 1/2)
-1/2x=4 1/2 /*(-2)
x= -9
d) x^(-1 1/2)=8
x^(-1 1/2)=2^3
x^(-1 1/2)= (2^-2)^(-1 1/2)
x=2^(-2)
x=1/4
e)x^-3=√8
x^-3=(2^3)^1/2
x^-3=((1/2)^1/2)^-3
x=1/2^1/2
x=√2