Write expression as the logarithm of a single number log6 + log8 - log2

log (6 ) + log ( 8 ) − log ( 2 )  

Exact Form:    ㏒ ( 24 )

Decimal Form:    1.38021124

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

Alana needs to carve out a specific monthly budget for herself and keep to it. She could make use of the envelope method to do so. She has to work enough to earn at least $600 in one month, that would take care of her expenses (rent, food, transport etc) that come out to be $524.

Step-by-step explanation:

Alana needs to be more aware of her spending pattern, only then will she be able to save a certain amount of money on a monthly basis. Creating a cash flow statement will help her in this regard.