The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.
We'll take log of each side.
Log of what base tho?
Well, the base of our exponential is e,
so we'll take log base e of each side.
We'll apply one of our log rules next:
This allows us to take the exponent out of the log,
Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
So our equation simplifies to this,
As a final step, divide both sides by 3,
k, hope that helps!
First we need to know the surface area of the package:
2(lw) + 2(lh) + 2(wh)
2(8*11) + 2(11*2) + 2(8*2)
2(88) + 2(22) + 2(16)
176 + 44 + 32
252 square inches needed
Wrapping paper is in feet, so convert it to inches before finding the area.
1' = 12"; 2' = 24"
12* 24 = 288 square inches.
So, yes there is enough paper to cover all sides of the gift if there are no overlaps.
<span>Outcome Heads Tails
Relative Frequency 0.69 0.31
so first statement is false as 69% is close to 70%.
second statement is false as heads probability is close to 70%
last 2 statements are true:
</span><span>The theoretical probability of tails is most likely 30%.
It is likely that the coin is not fair.
</span>
The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x.
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
