Riješi 300000=k*2^995

$$300000 = k \cdot 2 ^ { 995 }$$

Riješite za k

$$k=\frac{9375}{10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224}\approx 8,959330738 \cdot 10^{-295}$$

Koraci za rješavanje linearne jednačine

Izračunajte 2 stepen od 995 i dobijte 334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168.

$$300000=k\times 334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168$$

Zamijenite strane tako da svi promjenljivi izrazi budu na lijevoj strani.

$$k\times 334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168=300000$$

Podijelite obje strane s 334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168.

$$k=\frac{300000}{334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168}$$

Svedite razlomak \frac{300000}{334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168} na najprostije elemente rastavlјanjem i kraćenjem 32.

$$k=\frac{9375}{10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660224}$$