Question

4^(х+1,5) + 7*2^(х+1)=4

Answer 1

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

Answer 2

$4^{x+1,5}+7*2^{x+1}=4\\4^x*4^{1,5}+7*2^x*2^1-4=0\\8*2^{2x}+14*2^x-4=0\\2^x=a\\8a^2+14a-4=0|:2\\2a^2+7a-2=0\\D=7^2-4*4*(-2)=49+32=81=9^2\\a_1=(-7+9)/(2*2)=2/4=1/2\\a_2=(-7-9)/(2*2)=-16/4=-4\\\\2^x=1/2\\2^x=2^{-1}\\x=-1\\\\2^x \neq -4\\2^x\ \textgreater \ 0\\-4\ \textless \ 0\\\\x=-1$