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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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40 36 32 28 what number comes next
Alex73 [517]

Answer:

24

Step-by-step explanation:

subract 4 each time

6 0
3 years ago
Raisins (x) that sell for $1.60 per pound are mixed with chocolate chips (y) that sell for $2.45 per pound to make 17 pounds of
Rasek [7]

Answer: B) x + y = 17

1.60x + 2.45y = 34

Step-by-step explanation:

Cost of x = $1.60 per pound

Cost of y = $2.45 per pound

Total pounds of x and y = 17

Cost per pound of mixture = $2

Total number of pounds of the mixture :

x + y = 17

Since the cost per pound of the mixture = 2

Hence ;

(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)

(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)

1.60x + 2.45y = 2 * 17

1.60x + 2.45y = 34

3 0
3 years ago
S is the midpoint of TV. TS = 4x - 7, and SV = 5x - 15. Find TS, SV, and TV.​
jasenka [17]

Step-by-step explanation:

TS = 4x - 7

x = -7/4

SV = 5x -15

x = -15/5

= -3

TV = -7/4 + -3

= -3 3/4

= -4.75

8 0
1 year ago
Melissa sees a lighthouse from her sailboat. She knows the height of the lighthouse is 154 feet. She uses a measuring device and
Alex_Xolod [135]

Answer:

219.9  feet to the nearest tenth.

Step-by-step explanation:

Use trigonometry:

tan 35 = opposite / adjacent side

= 154/x

x =  154 / tan35

= 219.93

6 0
3 years ago
Read 2 more answers
Help me pls<br><br> What is a visual Overlap
PilotLPTM [1.2K]
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.


- Hope this helps!
4 0
3 years ago
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