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spayn [35]
3 years ago
10

Which is the best approximation to a solution of the equation e^x = 2x + 3?

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0
The correct question is 
Which is the best approximation to a solution of the equation
e^(2x) = 2e^{x) + 3?

we have that

e^(2x) = 2e^{x) + 3-----------> e^(2x)- 2e^{x) - 3=0
the term 
e^(2x)- 2e^{x)----------> (e^x)²-2e^(x)*(1)+1²-1²------> (e^x-1)²-1

then
e^(2x)- 2e^{x) - 3=0--------> (e^x-1)²-1-3=0------> (e^x-1)²=4
(e^x-1)=2--------> e^x=3
x*ln(e)=ln(3)---------> x=ln(3)
ln(3)=1.10
hence
x=1.10

the answer is x=1.10



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What is the measure of m?
nata0808 [166]

Answer:

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Step-by-step explanation:

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2 years ago
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 81 , find the numbers.
zavuch27 [327]
Let smaller number be x/2 and the larger number x.

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2 years ago
Simplify the expression. Write your answer as a power. <br><br> (-3)^4/(-3)^1​
ELEN [110]

Step-by-step explanation:

Simplify the following:

(((-3)/4)^5)^2

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((-3)/4)^(5×2)

5×2 = 10:

((-3)/4)^10

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(-3)^10/4^10

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3^10/(4 (4^2)^2)^2

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3^10/(4×256)^2

4×256 = 1024:

3^10/1024^2

3^10/1048576

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Harrizon [31]
Could you rephrase that? Is it just 14 multiplied by 14?
6 0
3 years ago
Read 2 more answers
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