If `a gt 1, x gt 0` and `2^(log_(a)(2x))=5^(log_(a)(5x))`, then x is equal toA. `(1)/(10)`B. `(1)/(5)`C. `(1)/(2)`D. 1

If `a gt 1, x gt 0` and `2^(log_(a)(2x))=5^(log_(a)(5x))`, then x is e

1.	If `a gt 1, x gt 0` and `2^(log_(a)(2x))=5^(log_(a)(5x))`, then x is equal toA. `(1)/(10)`B. `(1)/(5)`C. `(1)/(2)`D. 1
Answer» Correct Answer - A We having `2^(log_(a)(2x))=5^(log_(a)(5x))` Taking log on both sides, we get `log_(a)(2x).log 2=log_(a)(5x).log 5` `rArr ((log 2+log x))/(log a)log 2=((log 5+ log x))/(log a)log 5` `rArr (log 2)^(2)+log x log 2=(log 5)^(2)+(log x)log 5` `rArr log x(log 2-log 5)=(log 5)^(2)-(log 2)^(2)` `rArr -log x=log 5+log 2=log 10` `rArr x=(1)/(10)`

If `a gt 1, x gt 0` and `2^(log_(a)(2x))=5^(log_(a)(5x))`, then x is equal toA. `(1)/(10)`B. `(1)/(5)`C. `(1)/(2)`D. 1
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