3).

$5$ - $log subscript 10 square root of 1 plus x end root$ $plus$ $4$ $log subscript 10 square root of 1 minus x end root$ $equals$ $log subscript 10 fraction numerator 1 over denominator square root of 1 minus x squared end root end fraction$ , then 100x equals

Explanation

$5 space minus space$ $log subscript 10 open parentheses square root of 1 plus x end root close parentheses space plus space 4 space log subscript 10 open parentheses square root of 1 minus x end root close parentheses space equals log subscript 10 fraction numerator 1 over denominator square root of 1 minus x squared end root end fraction$

= $log subscript 10 open parentheses fraction numerator 1 over denominator square root of 1 plus x end root end fraction space cross times fraction numerator 1 over denominator square root of 1 minus x end root end fraction close parentheses$

= $negative log subscript 10 square root of 1 plus x end root space minus space log subscript 10 square root of 1 minus x end root$

=> $5$ = $negative 5$ $log subscript 10 square root of 1 minus x end root$

=> $log subscript 10 square root of 1 minus x end root$ = - 1= 1/10 => = 1/100 =>

=> $square root of 1 minus x space end root space equals bevelled 1 over 10 space space space space equals greater than space 1 minus x space equals bevelled fraction numerator 1 over denominator 100 space end fraction space space equals greater than space space x$ = 99/100

=> 100 x = 99

Ans: 99

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CAT-2021-QA-Slot-1/Free CAT Question papers

Explanation

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