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LekaFEV [45]
3 years ago
7

Solve the following equation by using properties of logarithms. 500 / (1 + e^-5x) = 300

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Step-by-step explanation:

in the 6 th process I've used natural logarithm ln and ln(e)=1.

if the answer is required in decimal u can substitute the value in calculator.

hope it helps

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The vertex of the graph of f(x) = |x - 3| +6 is located at<br> Done<br> Intro
Igoryamba

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

8 0
2 years ago
What is the tru solution to the logarithmic equation below? Log4[log4(2x)]=1
zaharov [31]

\log_4(\log_42x)=1

Take both sides as powers of 4:

4^{\log_4(\log_42x)}=4^1\implies\log_42x=4

Do it again:

4^{\log_42x}=4^4\implies2x=(2^2)^4=2^8\implies x=2^7=128

3 0
3 years ago
Travelling only through the crust, surface waves arrive after body waves. though they arrive later than body waves, surface wave
leva [86]
I believe the answer would be volcanic eruptions.
4 0
3 years ago
Read 2 more answers
Evaluate exactly in radians: arctan(1/sqrt(3)). Show solution w/ explanation.
balandron [24]
Arc tan ( 1/√3 ) = arc tan ( √3/3 ) = 30°
180° = π ( in radians )
30° = 180°/6  = π/6 
 
5 0
3 years ago
If f(x)=4^x, find f(4)
lina2011 [118]

Answer:

\huge\boxed{f(4) = 256}

Step-by-step explanation:

<u>Given function is:</u>

f(x) = 4^x

Put x = 4

So,

f(4) = 4^4\\\\f(4) = 256\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
2 years ago
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