What is the value of x in the equation below?

Mathematics

1 answer:

denis23 [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation is :

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

Subtracting 1 in both sides

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

$2e^{x+1}=8$

Dividing 2 in both sides

$e^{x+1}=\frac{8}{2}$

$e^{x+1}=4$

Taking log on both sides

$loge^{(x+1)}=log4$

$(x+1)loge=log4$

Plugging the value of log e as 1

$x+1=log4$

$x=log4-1$ ..................... Answer

Hope it will help :)

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<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

$C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}$

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed. There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

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