4^(х+1,5) + 7*2^(х+1)=4

4(x+1,5)+7*2(x+1)=44x+6+14x+14=44x+14x=4-6-1418x=-16x=-16/18

[latex]4^{x+1,5}+7*2^{x+1}=4\4^x*4^{1,5}+7*2^x*2^1-4=0\8*2^{2x}+14*2^x-4=0\2^x=a\8a^2+14a-4=0|:2\2a^2+7a-2=0\D=7^2-4*4*(-2)=49+32=81=9^2\a_1=(-7+9)/(2*2)=2/4=1/2\a_2=(-7-9)/(2*2)=-16/4=-4\\2^x=1/2\2^x=2^{-1}\x=-1\\2^x eq -4\2^x extgreater 0\-4 extless 0\\x=-1[/latex]