Answer: 28
Step-by-step explanation:
Simplifying
2x + 16 = 3x + -12
Reorder the terms:
16 + 2x = 3x + -12
Reorder the terms:
16 + 2x = -12 + 3x
Solving
16 + 2x = -12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
16 + 2x + -3x = -12 + 3x + -3x
Combine like terms: 2x + -3x = -1x
16 + -1x = -12 + 3x + -3x
Combine like terms: 3x + -3x = 0
16 + -1x = -12 + 0
16 + -1x = -12
Add '-16' to each side of the equation.
16 + -16 + -1x = -12 + -16
Combine like terms: 16 + -16 = 0
0 + -1x = -12 + -16
-1x = -12 + -16
Combine like terms: -12 + -16 = -28
-1x = -28
Divide each side by '-1'.
x = 28
Simplifying
x = 28
Yes, it is reasonable for Brittany to think that she will need more than 2 batches of cookies to feed all of the people at her school.
One batch of dough makes 2 dozen cookies, or 24 cookies.
This means that two batches of dough makes 4 dozen cookies, or 48 cookies.
If Brittany only brought 48 cookies to school, some kids wouldn't get cookies. So, we know that Brittany should probably bake more than 2 batches of cookies.
<u>Given</u>:
The given expression is 
We need to determine the value of x using either base - 10 or base - e logarithms.
<u>Value of x:</u>
Let us determine the value of x using the base - e logarithms.
Applying the log rule that if 
then 
Thus, we get;
Applying the log rule, 
, we get;
Expanding, we get;
Subtracting both sides by 
, we get;
Subtracting both sides by 
, we get;
Taking out the common term x, we have;
Thus, the value of x is
