d)
7*4^x-2^{2x+1}=26+7*4^{x-1}
7*2^{2x}-2^{2x}*2=26+7*2^{2(x-1)}
2^{2x}(7-2)=26+7*2^{2x}*2^{-2}
2^{2x}*5=26+7*2^{2x}*\frac{1}{4}\ |*4
2^{2x}*20=104+7*2^{2x}
2^{2x}*20-7*2^{2x}=104
2^{2x}(20-7)=104
2^{2x}*13=104 \ |:13
2^{2x}=8
2^{2x}=2^3
2x=3
x=\frac{3}{2}
e)
3^{2x}+\frac{4}{27}=2*3^{2x+1}-9^x
3^{2x}-2*3^{2x+1}+9^x=-\frac{4}{27} \ |*27
3^{2x}*27-2*3^{2x}*3*27+3^{2x}*27=-4
3^{2x}(27-162+27)=-4
3^{2x}*(-108)=-4 \ |:(-108)
3^{2x}=\frac{4}{108}
3^{2x}=\frac{1}{27}
3^{2x}=27^{-1}
3^{2x}=(3^3)^{-1}
3^{2x}=3^{-3}
2x=-3
x=-\frac{3}{2}
f)
5*2^{3x}+8^x-2*4^{1,5x}=16
5*2^{3x}+2^{3x}-2*2^{2*1,5x}=16
5*2^{3x}+2^{3x}-2*2^{3x}=16
2^{3x}(5+1-2)=16
2^{3x}*4=16 \ |:4
2^{3x}=4
2^{3x}=2^2
3x=2
x=\frac{2}{3}