Oblicz: [latex]a) 2log5+log4-log 10^{4} [/latex] [latex]b) frac{x-3}{2x} = frac{x-2}{2x+1} [/latex] [latex]c) frac{ x^{2} -9}{x-3} =0[/latex] [latex]d) 3^{3} * 27^{ -frac{4}{3} } [/latex] [latex]e) sqrt{ 7^{5} }* 7^{ -frac{3}{2} } [/latex]

[latex]a) 2log5+log4-log 10^{4}=log5^2+log4-log10^4=logfrac{25cdot4}{10^4}=logfrac{10^2}{10^4}\=logfrac{1}{10^2}=log10^{-2}=-2\ \ b) frac{x-3}{2x} = frac{x-2}{2x+1} \ zal: x eq 0 i x eq -frac{1}{2}\ (x-3)(2x+1)=2x(x-2)\ 2x^2-5x-3 = 2x^2-4x\ -x-3=0\ x=-3 [/latex] [latex]c) frac{ x^{2} -9}{x-3} =0\ zal: x eq 3\ frac{(x-3)(x+3)}{x-3}=0\ x+3=0\ x=-3\ \ d) 3^{3} * 27^{ -frac{4}{3} } =3^3*(3^3)^{-frac{4}{3}}=3^3*3^{-4}=3^{3+(-4)}=3^{-1}=frac{1}{3}\ \ e) sqrt{ 7^{5} }* 7^{ -frac{3}{2} } =(7^{frac{1}{2}})^5*7^{-frac{3}{2}}=7^{frac{5}{2}+(-frac{3}{2})}=7^1=7[/latex]

oblicz  a log4[latex] frac{1}{16} [/latex] b log[latex] sqrt{3} [/latex]([latex] sqrt{3} [/latex])pot5 c log5 20-log5 4 d log40+2log5 e log4 10+log4 0,4

oblicz  a log4[latex] frac{1}{16} [/latex] b log[latex] sqrt{3} [/latex]([latex] sqrt{3} [/latex])pot5 c log5 20-log5 4 d log40+2log5 e log4 10+log4 0,4...