The solution of the logarithmic equation is approximately 5.66 .
The logarithm is a simpler way to write a exponential equation.
The exponential equation nˣ = b is written as logₙ b = x ( read as logarithm of b to the base of n is equal to x).
The various properties of logarithm are:
- log x+ log y= log x y
- log x - log y= log(x/y)
- log xⁿ=n log x
The given equation is :
log₂ x = 2.5
This equation is of the form logₐ b=n
We know that from the properties of logarithm logₐ b=n is equivalent to aⁿ=b.
So the given equation can be written as
Solving we get
x=5.6568....
or, x≈5.66
Therefore the logarithm equation has a solution for x where the value of x is approximately 5.66.
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I think that Simone is suffering from Bipolar disorder.
Bipolar disorder is defined as a <span>brain disorder that causes unusual shifts in energy, mood, activity levels, and the ability to carry out every day tasks. It is also recognized as a mani-depressive illness wherein one minute you feel euphoric the next minute you fell depressed and tend to be suicidal. </span>
Answer:
ans is 56
Step-by-step explanation:
for u = 2, x = 9, and y = 6
substituting into u + xy = 2 + 9*6 = 2 + 54 = 56
9514 1404 393
Answer:
no, it is good for 2 weeks (almost 3)
Step-by-step explanation:
The volume of the pool is ...
V = LWH
V = (20 m)(8 m)(1.8 m) = 288 m³
Then the amount of chlorine powder needed for 1 week is ...
(300 g/(50 m³)) × (288 m³) = 1728 g
A box of 5000 g holds enough chlorine for ...
(5000 g)/(1728 g/treatment) = 2.89 treatments
A box of chlorine powder is enough for 2 weeks, not 4.
Question: Write in standard form.
Answer:
Step-by-step explanation:
You group all your terms that have a in it together.
You group all your terms that have a in it together.
You put everything that doesn't have a variable on the opposing side.
Let's begin.
Add 35 on both sides:
Group terms together that have a in it and do the same for the terms.
The neat thing here is we don't really need to do anything for the 's since
Whatever we add to one side we must add to the other.
[Side note: You are going to complete the squares for the terms using the following identity:
.
]
So we are going to add on both sides (notice the coefficient of is 2 and the coefficient of is 1).
Applying the right hand side of the identity in my side note:
The cool thing about standard form is that it tells you the center and the radius.
In this case the center is (0,-1) and the radius is 6.
Standard form of a circle is where is the center and is the radius.