log (6 ) + log ( 8 ) − log ( 2 )
Answer:
Exact Form: ㏒ ( 24 )
Decimal Form: 1.38021124
Step-by-step explanation:
Use the product property of logarithms,
㏒b ( x) + ㏒b ( y ) = ㏒b ( x y ).
㏒ ( 6 ⋅ 8 ) − ㏒ ( 2 ) .
⇒Use the quotient property of logarithms,
㏒ b ( x ) − ㏒ b ( y ) = ㏒ b ( x y ) .
㏒ ( 6 ⋅ 8/ 2 )
⇒Reduce the expression by cancelling the common factors.
Factor 2 out of 6 ⋅8 .
log ( 2 ( 3 ⋅ 8 ) / 2 )
Divide 3 ⋅ 8 by 1 .
㏒ ( 3 ⋅ 8 )
Multiply 3 by 8 .
㏒ ( 24 )
The result can be shown in both exact and decimal forms.
Exact Form: ㏒ ( 24 )
Decimal Form: 1.38021124