Answer:
Alternative
Step-by-step explanation:
(27⁽⁻ˣ⁺³⁾) (9⁽ˣ⁺¹⁾) = 81
Instead of using logarithmic to find x, Notice that 27, 9 and 81 are the perfect powers of 3. Since 27 = 3³, 9 = 3², and 81 = 3⁴, so
(3³⁽⁻ˣ⁺³⁾) (3²⁽ˣ⁺¹⁾) = 3⁴
3³⁽⁻ˣ⁺³⁾⁺²⁽ˣ⁺¹⁾ = 3⁴
If the bases are the same, then cancel it and bring the power as a new base.
3(-x+3) + 2(x+1) = 4
-3x + 9 + 2x + 2 = 4
-x + 11 = 4
-x = 4 - 11
-x = -7
x = 7
Answer:
1/15
Step-by-step explanation:
Ms. Fox loves to eat cereal and she notices that she only has 1/3 of the box of cereal left. If she spread that amount across 5 days, how much cereal will she have for each day?
The amount of cereal she would have per day is calculated as:
5 days = 1/3 of the box
1 day = x
Cross Multiply
5 days × x = 1 day × 1/3 of the box
x = 1/3 ÷ 5
x = 1/3 × 1/5
x = 1/15 of the box
It does not make sense, because 4 is not a prime number. If it would have been 2*2*11 then it would have been correct.
