# Maths

posted by .

Solve the given equation:
ln(x + 4) + ln(x + 2) = 2

ps - we aren't allowed calculators

My ans:

I got as far as

ln [(x+4)(x+2)] = 2
ln (x^2+6x+8) = 2

And then I am lost, whatever I do ends up with no answer.
I also rewrote the above so that it is

e^2 = x^2+6x+8

But of course that made it worse :(

• Maths -

I am also stuck just as you are.

• Maths -

i also got the same equation:
ln [(x+4)(x+2)] = 2
ln (x^2+6x+8) = 2
x^2+6x+8 = e^2
x^2+6x+(8-e^2)=0
thus, you have no choice but to use quadratic formula: (where a=1, b=6, c=8-e^2)

[-6+-sqrt(6^2-4(1)(8-e^2))]/2(1)
[-6+-sqrt(36-32+4e^2)]/2
[-6+-sqrt(4+4e^2)]/2 *factor out 4
[-6+-2(sqrt{1+e^2})]/2
therefore, x is equal to:
-3+sqrt(1+e^2) and -3-sqrt(1+e^2)

so there,, =)

## Similar Questions

1. ### word problem

A manufacturer of graphing calculators has determined that 11,000 calculators per week will be sold at a price of \$90 each. At a price of \$80, it is estimated that 17,000 calculators would be sold. A.) determine a linear function that …
2. ### Math

The cost C, in dollars, to produce graphing calculators is given by the function C(x)=57+4500, where x is the number of calculators produced. How many calculators can be produced if the cost is limited to \$129,900?

just like to check if ive got these right. if not can you help?

just like to check if ive got these right. if not can you help?
5. ### chem

an aq. solution(NaCl) made by using 133g diluted to a total solution volume of 1 L.Calculate the molarity, molality & mass % of the solution(density of solution = 1.08g/mL) [ans: M=1.92M, m=2.0m, 10.4 %] i need the calculation work …

Can you check these inequalities? 1. Chancellor is saving \$15 each week for at least n weeks to buy a skateboard that cost \$150. Write an inequality to represent this real life situation. Ans: 15n >= 150 2. Write an inequality to
7. ### Math 125

how do i solve: a manufacturer of calculators has determined that 10,000 calculators per week will be sold at price of \$95 per calculator. At a price of \$90, it is estimated that 12,000 calculators will be sold. Predict the number …
8. ### math

A manufacturer of calculators would like to separate defective calculators from calculators that are acceptable. Through an error, a shipment of 12 calculators is sent out containing 3 defective calculators and 9 working calculators. …
9. ### math

A manufacturer of calculators would like to separate defective calculators from calculators that are acceptable. Through an error, a shipment of twelve calculators is sent out containing three defective calculators and nine working …
10. ### math

A manufacturer of calculators would like to separate defective calculators from calculators that are acceptable. Through an error, a shipment of twelve calculators is sent out containing three defective calculators and nine working …

More Similar Questions