1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stira [4]
3 years ago
6

What is the value of x in the equation below?

Mathematics
2 answers:
belka [17]3 years ago
5 0
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
answer \space\ is \space\ C=ln(4)-1
diamong [38]3 years ago
4 0

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

answer \space\ is \space\ C=ln(4)-1


You might be interested in
A company needs to package 7,560 beads. A wooden container shaped like a rectangular prism can hold 180 beads. A plastic cylindr
Kobotan [32]
For the wooden box, if you do 7560 ÷ 180 you get 42. that's how many boxes you would need. multiply 42 by the cost of the wooden boxes: 42 × 0.70 you get 29.40 dollars

for the plastic container, do 7560 ÷ 126 which equals 60, the amount of plastic containers you would need. multiply 60 by the plastic containers cost: 60×40= 24 dollars.

to save money, the company should use the plastic containers because it costs less than the wooden ones.
8 0
2 years ago
Read 2 more answers
Factor the following expressions completely. Show and check all work on your own paper.
Katyanochek1 [597]
5x2 would be 10 and 10-50x would be negative 40x and 40x + 125 would be 165x
5 0
2 years ago
Determine the equation of the line that passes through the point (7, -23)and is perpendicular to the line y=1/3x-6Enter your ans
marishachu [46]

We have a line y = 1/3x -6

We want a line that is perpendicular to this line

Perpendicular lines have slopes that multiply to -1

1/3 * m = -1

3 * 1/3 *m = -1 * 3

m = -3

The slope of the perpendicular line is -3

y = mx+b where m is the slope and b is the y intercept

y = -3x+b

We have a point on the line ( 7 ,-23)

Substitute this point into the equation

-23 = -3(7)+b

-23 = -21+b

Add 21 to each side

-23+21 = -21+21+b

-2 = b

y = -3x-2

In slope intercept form, the line perpendicular passing through (7,-23) is

y = -3x-2

3 0
1 year ago
Solving inequalities, what is x/18>27
Lunna [17]

Answer:   x > 486

Explanation:

We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.

This is what the steps look like

x/18 > 27

18*( x/18 ) > 18*27 .... multiplying both sides by 18

x > 486 ... note the 18's cancel on the left side

So this means x is some number greater than 486.

7 0
3 years ago
Adding, Subtracting, Multiplying, and Dividing Rationals and Solving Equations with Rationals in a real world scenario?
eduard

Answer:

cnc machining can include a lot of maths in it

4 0
3 years ago
Other questions:
  • Round48.073 to the nearest hundredth
    8·2 answers
  • What is the length of CA and which theorem did you use ?
    5·1 answer
  • How many different isosceles right triangles can be formed from three dots in the grid below? Two examples are shown.
    9·1 answer
  • The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 1
    12·1 answer
  • USE THE PHOTO. .............
    14·1 answer
  • Negative integers are integers less than zero is it true or false?<br> True<br> False
    13·1 answer
  • The sum of three numbers is 254.772. We can get the biggest and smallest numbers if we move the decimal point in the middle numb
    5·1 answer
  • The number of fish in a lake is growing exponentially. The table shows the values, in thousands, after different numbers or year
    15·1 answer
  • What is the answer to this equation using the quadratic formula?<br> 3x^2+2x+4x=0
    9·1 answer
  • You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!