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3^x^2*√3=3^9,5
3^x^2*3^1/2=3^9,5
3^x^2+1/2=3^9,5
x^2+1/2=9,5
x^2=9
x=√9 x=-3 x=3
2)
licznik:
log2 16+log2 1= log2(16*1)= log2 16 = 4 bo 2^4=16
4=2^2
mianownik:
√2*(1/4)^-2
2^1/2*4^2
2^1/2*(2^2)^2
2^1/2*2^4=2^4 1/2
po skrórceniu licznika i mianownika
wynik -2^-2
3)
(1/2)^x+1 *2^1/x+1= √2^x
((2)^-1)^x+1 * 2^1/x+1=2^x/2
2^(-x-1+1/x+1)=2^x/2
-x+1/x=x/2
-x+1/x-x/2=0
-x^2+2-x^2=0
-3x^2=-2
x^2=2/3
x=√2/3