Question

Rezolvati.  a)11*11 la puterea3 >11 la puterea 6+x       b) 25 la puterea18>5 la puterea x+2

Answer 1

a) 11* 11³ > $11^{6+x}$ <=> $11^{4}$ > $11^{6+x}$ => 4>6+x => x<-2 => x∈{-3,-4,-5...}

b) $25^{18} > 5^{x+2}$ <=> $5^{36}$ > $5^{x+2}$ => 36>x+2 => x<34 => x∈{...-3,-2,-1,0,1,2,...,33}