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Sever21 [200]
3 years ago
14

Log(x+4)-log(x-2)=1step by step please!​

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

x

=

7

9

.

Step-by-step explanation:

x

=

7

9

.

Explanation:

Remember the rules of logarithms:

log

a

−

log

b

=

log

(

a

b

)

. Using this, we get

log

x

−

log

(

x

+

7

)

=

−

1

⇒

log

(

x

x

+

7

)

=

−

1

Now we remember that

log

c

=

d

⇔

c

=

10

d

. Essentially what we're doing there is taking 10 to the power of both sides, and since

10

x

and

log

x

are inverse functions, they cancel off.

f

−

1

[

f

(

x

)

]

=

x

. So we get

log

(

x

x

+

7

)

=

−

1

(

⇒

10

log

(

x

x

+

7

)

=

10

−

1

)

⇒

x

x

+

7

=

10

−

1

⇒

x

=

x

+

7

10

⇒

10

x

=

x

+

7

⇒

9

x

=

7

⇒

x

=

7

9

So

x

=

7

/

9

is our answer.

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Answer:

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3 years ago
write the equation of the line perpendicular of the graph of y=-1/4x+3 and passes through the point (-2,4)
Dafna11 [192]
Y=4x+12, I Hope this helps you!

6 0
3 years ago
May someone please help me on which to graph?
olga_2 [115]

Answer:

Option (4)

Step-by-step explanation:

Proportional relationship means,

y ∝ x

y = kx

k=\frac{y}{x}

Here, k = proportionality constant

Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.

From table 1,

For a point (1, 2)

k=\frac{2}{1}=2

For another point (3, 2)

k=\frac{3}{2}=1.5

In both the cases 'k' is not same of constant.

Therefore, table (1) is not proportional.

For table (2),

Line passes through (2, 0).

That means there is a x-intercept → (2, 0)

Therefore, table doesn't represent a proportional relationship.

For table (3),

Line passes through a point (0, 1)

It means given line has a y-intercept → y = 1

Therefore, table doesn't represent a proportional relationship.

For table (4),

Line of this table passes through two points (1, 3) and (2, 6)

k=\frac{3}{1}=3

k=\frac{6}{2}=3

Therefore, proportionality constant for the given table is 3.

Now we can graph table (4).

6 0
3 years ago
How do you find the x and y intercepts of the equation 3x-6y=18 ?
romanna [79]

Answer:

23

Step-by-step explanation:


6 0
3 years ago
: Nicole and Ian generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1.
zhenek [66]

The ordered pairs of Nicole and Ian's sequence pattern are:(5,1),(17,3),(53,5),(161,10),(485,20).

Given that Nicole uses the  rule multiply by 3 then add 2 starting with it and Ian uses the rule add 1/2 then multiply by 2 starting from 0,

We ar rquired to find the ordered pairs of Nicole's and Ian's rules.

We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.

Thus Nicole's pattern is :5,17,53,161,485.

Ian's pattern is add 1/2 then multiply by 2 and starting with 0.Thus the  numbers are :1,3,5,10,20.

If we combine the numbers of both the person'rule then we will get the ordered pairs which can be written as under:

The ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

Hence the ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

Learn more about pattern at brainly.com/question/17386984

#SPJ1

8 0
2 years ago
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