Решить: 1. log₃/₂ (1/2x) = 1 2. log₄(9x²+1/4) = - 1/2 3. log₄(7x-3) - log₄(8х-8)=1/2 4. ln(2-x) = ln 5 - ln (x+4)

11/2x=3/2x=3/2:1/2x=329x²+1/4=1/29x²=1/2-1/49x²=1/4x²=1/36x=-1/6 U x=1/63{7x-3>0⇒x>3/7{8x-8>0⇒x>1x∈(1;∞)log(x)[(7x-3)/(8x-8(]=1/2(7x-3)/(8x-8)=27x-3=16x-1616x-7x=-3+169x=13x=13/94{2-x>0⇒x<2{x+4>0⇒x>-4x∈(-4;2)ln(2-x)=ln[5/(x+4)]2-x=5/(x+4)(2-x)(x+4)=55-2x-8+x²+4x=0x²+2x-3=0x1+x2=-2 U x1*x2=-3x1=-3 U x2=1