Решите неравенства: 2^(х+2)-2^(х+3)-2^(х+4)>5^(х+1)-5^(х+2)

Question

Решите неравенства: 2^(х+2)-2^(х+3)-2^(х+4)>5^(х+1)-5^(х+2)

Answer 1

2^x*(2^2-2^3-2^4)>5^x*(5-5^2)

2^x*(4-8-16)>5^x*(5-25)

-20*2^x>-20*5^x   | :(-20)

2^x<5^x</p>

x<0</p>