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i Am OrIeNtAL
My weakness is modesty
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Question —
loge a +loge a²/b + loge a³/ b2........ ke pratham n pado ka yogphal=?
Solve—
Yeh ek logarithmic series hai, jahan pratyek pad ko ek common base 'a' aur 'b' ke powers se divide kiya ja raha hai.
Loge a + Loge a²/b + Loge a³/b² + ... (n terms)
Yeh series ko hum ek common logarithmic formula ka use karke simplify kar sakte hain:
Loge a + Loge a²/b + Loge a³/b² + ... = Loge (a × a²/b × a³/b² × ... )
= Loge (a^(1+2+3+...n) / b^(1+2+3+...n-1))
= Loge (a^(n(n+1)/2) / b^(n(n-1)/2))
Toh, pratham n pado ka yogphal yeh hoga:
Loge (a^(n(n+1)/2) / b^(n(n-1)/2))
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