Zadatak 1957

Test: MPsIIVAIII_337

 

N a) Ako je \(\log_23=a\) i \(\log_52=b\), odredi \(\log_{24}50\).

b) Uprosti izraz: $$\frac{1-\log _{\frac{1}{a}}\frac{1}{(a-b)^2}+\log_a^2(a-b) }{(1-\log_{\sqrt{a}}(a-b)+\log_a^2(a-b))^{\frac{1}{2}}},\: \: \; 0<b<a<1$$