Answer:
third option: log_2 1/3
Step-by-step explanation:
change of base formula:
log_b a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2 1/3
Represent as
w=wally
a=ashan
so wally has 2 more marbles than ashan
w=2+a
together they have 88
w+a=88
since w=2+a, subsitute (2+a) for w in the w+a=88 equation
2+a+a=88
add like terms
2+2a=88
subtract 2 from both sides
2a=86
divide by 2
a=43
ashan has 43 marbles
45 ÷ 3 = 15
21 ÷ 3 = 7
12 ÷ 3 = 4
(4 + 15) x 7 = 133
OR if you’re using bedmas/pedmas
4 + (15 x 7) = 109
240 = 16 * 15 = 4^2 * 15
So
√ 240 = √(4^2 * 15) = 4√15
Answer
4√15
X = number of DVDs
1 DVD costs $1.95 to rent
x DVDs cost 1.95x dollars to rent
tack on the membership fee of 4.95 and the total cost is 1.95x+4.95
set this equal to 42 and solve for x
<span>1.95x+4.95 = 42
</span>1.95x+4.95-4.95 = 42<span>-4.95
</span>1.95x = 37.05
<span>1.95x/1.95 = 37.05/1.95
</span>x = 19
So Shanti can rent 19 DVDs
