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elena-14-01-66 [18.8K]
2 years ago
7

Select the correct answer. What is the solution to this equation? 8(e)²x+1 = 4

Mathematics
1 answer:
EastWind [94]2 years ago
6 0

The solution to the given exponential function isx = [ ln(0.5) - 1]/2

Solving exponential equations,

<h3>What is the standard exponential equation?</h3>

The standard exponential equation is expressed as y = ab^x

Given the expression

8(e)^{2x+1}=4

Divide both sides by 8

(e)^{2x+1}=4/8

(e)^{2x+1} = 1/2

Take the ln of both sides

ln(e)^{2x+1}  =ln(1/2)

2x + 1 = ln(0.5)

Subtract 1 from both sides

2x = ln(0.5) - 1

x = [ ln(0.5) - 1]/2

Hence the solution to the given exponential function is x = [ ln(0.5) - 1]/2

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

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When writing equivalent expressions, there are often several possible orders in which to simplify them. However, they will all take you to the same result as long as you do not make a mistake when using the properties. In this example, you will distribute the outer exponent first using the Power of a Product Property.

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3 years ago
I got a feeling I’m wrong
Sunny_sXe [5.5K]

Answer:

You are absolutely correct.

Step-by-step explanation:Equilateral, meaning all sides are the same size, and acute, meaning all angles are lower than 90 degrees.  You are correct.

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3 years ago
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Whoever gets this in 5 mins will be brainlest
ivanzaharov [21]

Answer:

easy its c

Step-by-step explanation:

so you do you start with the left 2 to the third power is 8

then the right side now is -3 to the second power is -9

in total 8- (9-)

so your answer is -1

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8 0
2 years ago
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Solve the rational equation 1/n-4 - 2/n = 3/4-n
Leokris [45]

Answer:

n=4

Step-by-step explanation:

Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]

Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:

\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]

=> \[(8-n)*(4-n) =n*(n-4)*3\]

=> \[n-8 =3n\]

=> \[2n =8\]

=> n = 4

5 0
3 years ago
How do I do this? I’m not sure can anyone help?
eduard

value of x= 7√3

Hope it helps you...

8 0
2 years ago
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