Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
The answer is below
Step-by-step explanation:
The growth of the bacteria is in the form of an exponential growth. It is given by the formula:
At 2 hours, the population is 62 cells, hence:
After another 2 hours (4 hours), the population is 1 million:
Put r = 4.844 in equation 1
Answer:
It will cost $190.75 to paint the whole fence.
Step-by-step explanation:
109 * 7 = 763 because Length x Width = Area
0.25 * 763 = 190.75
Answer:
3 donuts are sprinkles
Step-by-step explanation:
1/3 of 12 is 4
1/4 of 12 is 3
4+3=7
12-7=5
Glazed=5
Chocolate=4
Sprinkles=3
