log base b of 75
show work, please
show work, please
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... log(b) 75
= log(b) [ ( 25 )( 3 ) ]
= [ log(b) 25 ] + [ log(b) 3 ]
= [ log(b) ( 5² ) ] + [ log(b) ( 9¹ʹ² ) ]
= 2[ log(b) 5 ] + (1/2)[ log(b) 9 ]
= 2[ 12 ] + (1/2)[ 10 ]
= 24 + 5
= 29 ........................................… Ans.
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= log(b) [ ( 25 )( 3 ) ]
= [ log(b) 25 ] + [ log(b) 3 ]
= [ log(b) ( 5² ) ] + [ log(b) ( 9¹ʹ² ) ]
= 2[ log(b) 5 ] + (1/2)[ log(b) 9 ]
= 2[ 12 ] + (1/2)[ 10 ]
= 24 + 5
= 29 ........................................… Ans.
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You are Welcome, Ryan !
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