Question

решите неравенство 8^x-3*4^x+9*4^x-288/2^x-9<=32

Answer 1

$cfrac{8^{x-3}*4^{x+9}*4^{x-288}}{2^{x-9}}leq32 textless = textgreater cfrac{2^{3x-9}*2^{2x+18}*2^{2x-576}}{2^{x-9}}leq2^5to\cfrac{2^{3x-9+2x+18+2x-576}}{2^{x-9}}leq2^5to2^{3x-9+2x+18+2x-576-x+9}leq2^5 textless = textgreater \2^{6x-558}leq2^5to6x-558leq5 to xleq93frac{5}{6}$