a)
4^{4x-17}=4^3; =>4x-17=3;=>4x=20; =>x=5" alt="4^{4x-17}=64; => 4^{4x-17}=4^3; =>4x-17=3;=>4x=20; =>x=5" align="absmiddle" class="latex-formula">
б)
3^{-1(x-1)}=3^2; =>1-x=2; =>x=-1" alt="(\frac{1}{3})^{x-1}=9;=>3^{-1(x-1)}=3^2; =>1-x=2; =>x=-1" align="absmiddle" class="latex-formula">
в)
2^x(3*2^3-2^4)=4;2^x(3*8-16)=4\\2^x*8=4;=>2^x=\frac{4}{8} ;=>2^x=\frac{1}{2} =2^-1; =>x=-1;" alt="3*2^{x+3}-2^{x+4}=4 =>2^x(3*2^3-2^4)=4;2^x(3*8-16)=4\\2^x*8=4;=>2^x=\frac{4}{8} ;=>2^x=\frac{1}{2} =2^-1; =>x=-1;" align="absmiddle" class="latex-formula">
г)
3^{2x}-2*3^x+1-4=0\\(a-b)^2=a^2-2ab+b^2\\(3^x-1)^2-4=0;\\a^2-b^2=(a-b)(a+b)\\\\(3^x-1-2)(3^x-1+2)=0\\3^x-3=0;=>3^x=3;=>x=1\\3^x-1+2=0;=>3^x-\neq 1\\Ответ x=1" alt="3^{2x}-2*3^x-3=0;=>3^{2x}-2*3^x+1-4=0\\(a-b)^2=a^2-2ab+b^2\\(3^x-1)^2-4=0;\\a^2-b^2=(a-b)(a+b)\\\\(3^x-1-2)(3^x-1+2)=0\\3^x-3=0;=>3^x=3;=>x=1\\3^x-1+2=0;=>3^x-\neq 1\\Ответ x=1" align="absmiddle" class="latex-formula">