Do the same thing as the attached image.
If you would like to know for how many days will 1/2 of a bag of dog food last, you can calculate this using the following steps:
1 day ... 3 bags of dog food
x days = ? ... 1/2 of a bag of dog food
1 * 1/2 = 3 * x
1/2 = 3 * x /3
x = 1/2 * 1/3
x = 1/6 of a day
The correct result would be 1/6 of a day.
Answer:
x=-2
Step-by-step explanation:
(2/3)^x-1=27/8
Rewriting the right hand side
(2/3)^x-1=(3/2)^3
We know that a^-b = 1/a^b Hint: { 1/(3/2) = 2/3}
(2/3)^x-1=(2/3) ^-3
The bases are the same, so the exponents are the same
x-1 = -3
x -1+1 = -3+1
x = -2