, 24.01.2020cartertyson499

# What is the value of x in the equation below? 1+2e^x+1=9 shiba8667

remember

ln(a^b)=bln(a)

ln(e)=1

so

ln(e^x)=xln(e)=x

1+2e^{x+1}=9

minus \space\ 1 \space\ both \space\ sides

2e^{x+1}=8

divide \space\ both \space\ sides \space\ by \space\ 2

e^{x+1}=4

take \space\ ln \space\ of \space\ both \space\ sides

ln(e^{x+1})=ln(4)

(x+1)ln(e)=ln(4)

x+1=ln(4)

minus \space\ 1 \space\ from \space\ both \space\ sides

x=ln(4)-1 templetiggerxyz Step-by-step explanation:

Assuming the equation to solve is We can first simplify as: to solve an equation with e and x as an exponent, we need to take "natural log (ln)" on both sides and also use the property: And also remember that ln e = 1

Now we have:  walkereddie580

C

Step-by-step explanation:

1+2e^x+1=9

2e^x+1=9-1

e^x+1= 8/2

e^x+1 = 4

Here we can applicate the Ln:

ln e^x+1 = ln 4

Applicating the log property for exponent:

(x+1).ln e = ln 4

Ln e = 1, so:

x+1 = ln 4

x = ln 4-1 faithrawlins14  Step-by-step explanation:

Given the equation , add the like terms: Subtract 2 from both sides:  Divide both sides by 2: Apply natural logarithm to both sides. Remember that and Then, you get:    Softball5378                  lilquongohard
1.252

Explanation:

We are given this equation and we need to find the value of : (1)

Firstly, we have to clear :   (2)

Applying Natural Logarithm on both sides of the equation (2): (3) (4)

According to the Natural Logarithm rules , so (4) can be written as: (5)

Finally:  mikeydog5291

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