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s2008m [1.1K]
3 years ago
9

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0
The first step to solving this problem is Multiplying In(x-1).
JulsSmile [24]3 years ago
6 0

Answer:

The first step is to apply the laws of logarithms and write (In 6 - In x) as a single logarithms.

Solving he equation, x = 3 or x = -2.

Step-by-step explanation:

In (x - 1) = In 6 - In x

To solve this, we first apply the laws of logarithms and write (In 6 - In x) as a single logarithms.

In 6 - In x = In (6 ÷ x) = In (6/x)

In |(x - 1)| = In |(6/x)|

We can then say that

(x - 1) = (6/x)

x(x - 1) = 6

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x- 3) = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

Hope this Helps!!!

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Answer:

b

Step-by-step explanation:

7 0
3 years ago
Help me i hate word problems
VMariaS [17]
Is that all? My Algebra is freackin hard compared to this. Anyways, The way I understand this, is that we will have 3 (liters of water) +0.5 (half a liter of lemonade) =3.5 liters of liquid

so the question would be: how many times does  fit into 3.5?

if you want to divide by a fraction, you need to multiply by the reverse of it. 

so the answer is: 10 servings of lemonade ( and a little bit will be left over for half a serving).
Hope this helps!

4 0
3 years ago
R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?
lbvjy [14]
Q -------------R------------S

suppose this is your line,

R is the mid point

and it's given that

QR = 2x
and
RS = x+3

as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3


as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.

5 0
3 years ago
What is the equation in math N+8=-10
sp2606 [1]

Your answer is...

N = -18

-18 + 8 = -10

4 0
4 years ago
Read 2 more answers
Factor completely 20x^3y + 30x^2y^2.
weqwewe [10]

Answer:

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2  

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)  

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y)  than you factor out 10x^2y again and get 10x^2 y(2x + 3y)  your third option

6 0
3 years ago
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