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प्रश्न
Find x, if : `sqrt( 2^( x + 3 )) = 16`
उत्तर
`sqrt( 2^( x + 3 )) = 16`
`( 2^( x + 3 ))^(1/2) = 2 xx 2 xx 2 xx 2`
⇒ `( 2 )^[(x + 3)/2] = 2^4`
We know that if bases are equal, the powers are equal.
⇒ `[ x + 3 ]/2 = 4`
⇒ x + 3 = 8
⇒ x = 8 - 3
⇒ x = 5
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