Answer: 
We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.
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Explanation:
It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.
I'm going to use these three log rules, which apply to any base.
- log(A) + log(B) = log(A*B)
- log(A) - log(B) = log(A/B)
- B*log(A) = log(A^B)
From there, we can then say the following:
Answer:
D.
Step-by-step explanation:
1) the domain is x∈[0;+∞);
2) the solution is:
3) finally, the solution with the domain is:
x∈[0;100].
Answer:
Step-by-step explanation:
x + y = 10
22x + 14y = 172
-22x - 22y = -220
22x + 14y = 172
-8y = - 48
y = 6 ceramic vases
x + 6 = 10
x = 4 glass vases
Answer:
A, 14
Step-by-step explanation:
Assuming that she has a total of d dollars, and spends half of it, then we have 1/2d. She then spends <em>another</em> 6 dollars, and therefore we would subtract. She is left with one dollar.
1/2d-6=1
Working backwards, we can solve for d, her total amount of money:
1/2d=7
d=14
<em>I hope this helps! :)</em>
Answer is $506.25.
first month is $100,
second month is 100 times 1.5 which is 150.
thirst month is 150 times 1.5 which is 225.
fourth month is 225 times 1.5 which is 337.5
fifth month is 337.5 times 1.5 which is 506.25
