The equation which is equivalent to
is
or x = 6 (
).
<u>Step-by-step explanation:</u>
Given Equation:

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

Then, the base b logarithm of x is equal to y

Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,


When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as 
4 cups of dried fruit would need to be taken out to keep the original ratio.
Given:
30 cups of trail mix.
ratio of nuts to dried fruit is 3 to 2.
3:2 = 6:x
3x = 2*6
3x = 12
3x/3 = 12/3
x = 4 cups of dried fruits
12/7 or 1 5/7 is how many bags of flour she will need.
Answer:This can be solved using the strategy used in this post:
It comes down to calculating
(5+3−13)=(73)=7⋅6⋅51⋅2⋅3=35
What we are doing is the following: We create 5 'buckets' of flavors:
−−−|−−−|−−−|−−−|−−−
Now, we want do divide the three scoops over the 5 buckets. Below, a scoop is shown as O. Some possibilities are:
O|O|||O||OOO||etc...
There are 4 borders between the buckets and 3 scoops. Thus, there are (4+33)=35 possibilities
Step-by-step explanation: