I'm assuming the given log equation is 
If so, then the exponential form is 
This is because the general form
transforms into 
For both equations, the 'b' is the base.
Answer: " m = zC / (C − z) " .
___________________________________
Explanation:
_________________________
Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
____________________________________
1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
____________________________________
Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
_________________
mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
___________________________________________________
Answer: See below
Step-by-step explanation:
Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table
1 2 3 4 5 6 7 8 9 10......
3 6 9 12 15 18 21 24 27 30......
We see that in each set of numbers the 2nd number is 3 times the first number.
If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.
Answer:
1. 2w+2*(5w) less than or equal to 96
Step-by-step explan2ation:
The width here is in fact 8, so it is possible to get 96, but it has to be either 96 or lower, so in theory 3 is the only one with the correct symbols. Also, 2w represents the fact that the width, w, is multiplied by 2 since its perimeter. 5x represents length, so length also needs to be multiplied twice. Sorry I don't have time to answer the rest
Answer:
Joel earns $35.00 commission and the store keeps $715.
Step-by-step explanation:
You need to figure 5% of what he sold - or 5% of $750.
Of course, you can use a calculator, or multiply $750 by .05. I prefer to think of 10 percent ($75.00) and half that to get 5%. $35.00.
Joel earns $35.00 on the sale. Not bad!
If he gets to keep $35, deduct this from the price to find out how much the store will keep.
$750 - $35 - $715.