1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Steven is comparing the cost of a fresh lobster dinner at two different restaurants. The first
Anarel [89]

Answer:

Step-by-step explanation:

2x+51=4x+19

32=2x

x=16. The weight is 16 pounds

plug it back in to find the cost

32+51=83. 64+19 = 83. The cost is 83 dollars

6 0
3 years ago
Solve for a a/22 = -4
Flura [38]

Answer:

a=-88

Step-by-step explanation:

do -4*22=-88

meaing a =-88 becuase

-88/22=-4

8 0
4 years ago
The average length of a king cobra is 118 inches, which is 22 inches longer than a black mamba. Write and solve an equation to f
Agata [3.3K]
Let x=length of king cobra
Let y=length of black mamba

x=118
y=x-22
y=118-22
y=96
Therefore black mamba has an average length of 96 inches
8 0
3 years ago
A restaurant used 8.4
Anarel [89]
Just divide 8.4 by 6. And you’ll get 1.4 ounces on each piece of pizza.
3 0
3 years ago
Write a paragraph of a real life situation you can use the graph as and explain how u would fit it onto the graph.
ivann1987 [24]

We can use this graph in the situation of an animal population of an animal species that grows exponentially until the death of Jesus, and from that point began to decrease exponentially.

It fit in the graph of the following way:

The y-axis represents the number of animals, and the x axis represents the passing of time, 0 becomes the moment in which the calendar stops being taken as before Christ and starts to be taken as after Christ.

3 0
1 year ago
Other questions:
  • I need help on this algebra question
    6·1 answer
  • 75 cents /hr equals how many dollars/day
    12·2 answers
  • Which of these numbers is irrational
    8·1 answer
  • Heather was in the pool for 2:45 to 5:00 how long was she in the pool
    8·1 answer
  • -8x-2y=-22<br> 16x+7y=17
    14·1 answer
  • Simplify the expression 2⋅3+12÷2^2−(4+2)
    11·1 answer
  • 7 1/8 + 1/6, reduced to lowest terms
    11·1 answer
  • MATH HELP PLEASE !!! Due soon !!!
    13·1 answer
  • BONUS: Your friend Alice is a full-time college student, earned $4,000 working at the campus bookstore over two semesters last c
    11·1 answer
  • Steps for solving 5(2x-8)= 20 are shown.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!