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Question

Question: If the third terms in the expansion of <img src="https://cdn.pureessence.tech/canvas_238.png?top_lef...

If the third terms in the expansion of is equal to 10,00,000 then x =

A

10

B

10 or 52- \frac { 5 } { 2 }

C

10 or 10–5/2

D

No such x exist.

Answer

10 or 10–5/2

Explanation

Solution

T3 = T2+1 = 5C2 x3= 106

\

\

\ (log10X1)(2log10X+5)=0\left( \log _ { 10 } ^ { \mathrm { X } } - 1 \right) \left( 2 \log _ { 10 } ^ { \mathrm { X } } + 5 \right) = 0