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2 years ago

What is the first step in solving In(x - 1) = In6 - Inx for x?

Mathematics

1 answer:

kobusy [5.1K]2 years ago

8 0

Answer:

x=3

Step-by-step explanation:

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

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

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

In(x^2-x) = In(6)

x^2-x=6

x^2-x-6=0

x^2+2x-3x-6=0

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

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

x=3 because x=-2 need to be cancel out

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Helpppp 2x-1>5 and 3x-5<19

maria [59]

Answer:

3 < x < 8

Step-by-step explanation:

Solve each part separately

2x - 1 > 5 ( add 1 to both sides )

2x > 6 ( divide both sides by 2 )

x > 3 , that is

3 < x

and

3x - 5 < 19 ( add 5 to both sides )

3x < 24 ( divide both sides by 3 )

x < 8

Then putting the two together

3 < x < 8

6 0

3 years ago

2x(x)=5<br> I need help

zhuklara [117]

Step-by-step explanation:

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3 years ago

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic

Artemon [7]

<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

$\sf{\rightarrow{d = kt}}$

$\sf\rightarrow{20 = 2k }$

$\sf\rightarrow{K= \frac{20}{2} }$

$\sf\rightarrow{K={\color{magenta}{10}}}$

<h2><u>Answer</u>:-</h2>

Therefore, the constant of variation is 10.

3 0

3 years ago

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Answer:

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Studentka2010 [4]

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Step-by-step explanation:

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3 years ago