Question

2.3 power of X equals to 0.23 of Y equal to 1000

Answer 1

Solution :

( 2.3 )^x = ( 0.23 )^y = 1000

i ) ( 2.3 )^x = 1000

=> 2.3 = ( 1000 )^1/x

=> 23/10 = ( 1000 )^1/x ----( 1 )

ii ) ( 0.23 )^y= ( 1000 )

=> 23/100 = ( 1000 )^1/y

=> ( 23/10 ) × 1/10 = ( 1000 )^1/y

=> ( 1000 )^1/x × 1/10 = ( 1000 )^1/y

=> ( 10 )^3/x ( 10 )^-1 = ( 10 )^3/y

=> ( 10 )^3/x - 1 = ( 10 )^3/y

= 3/x - 1 = 3/y

=> 3/x - 3/y = 1

=> 3( y - x )/xy = 1

=> 3( y - x ) = xy

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