You can use the on-site calculator on the home page.
Example:
log5 125 = x.
By properties of logs, you get 5^x = 125.
x = 3.
5 + 5 = 10.
Change the decimal to a fraction and then use the skip, change, & flip method.
Skip the first term, change division to multiplication, & flip the fraction.
Example: 5/0.5
5 / (5/10)
5 * 10/5
50/5
10.
I believe it is something like a tree where you get a large number to all its prime factors:
For example 27 --> 9*3 --> 3*3*3
Distribute 5 to (x-4) by multiplying 5 with x and 4.
5*x - 5*4
5x - 20 - 1 = -7x + 3
5x - 21 = -7x + 3
Now, all you have to do is add 7x to both sides and add 21 to both sides.
Can you take it from there?
4b + 8 = 6 + 4b
Note that we have 4b on both sides and also 8 on one side and 6 on the other.
The left hand side is NOT equal to the right hand side.
Ok, let's compare ratios:
Mixture A - 3:5
Mixture B - 4:7
3/5 = 0.6
4/7 = 0.571
Mixture A is stronger.
Another way to think about it is, you're adding 3 parts concentrate to 5 parts water so think of it as 2 extra parts of water for mixture A.
For mixture B, you are adding 7 - 4 = 3 extra parts of water.
First, do the exponents:
(-2)^3 = (-2*-2*-2) = -8.
Now, we have 2 divided by 3 or 2/3 times 6 = 2/3*6 = 12/3 = 4.
Add -8 and 4 --> -8 + 4 = -4.
Now, (-4)^5 = (-4*-4*-4*-4*-4) = ?
Mixture A has 3 parts concentrate for 5 parts of water. Mixture B has 4 parts concentrate for 5 parts water.
So, for every 3 parts of concentrate you add 5 parts water or 3:5 for mixture A. Mixture B's ratio would be 4:5
Notice that Mixture B would be stronger because you are adding more concentrate to the same amount of water.
