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
Rom4ik [11]
3 years ago
10

Solve log4 (y − 9) + log4 3 = log4 81

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer: y = 36

Step-by-step explanation:

This is question on logarithm, so it is logarithmic equation.

Log4(y - 9) + log4 3 = log4 81

Now remembered that in logarithm, it is the opposite of the indices. The addition in log. means multiplication. So, log 4(y -9) + log 4 3 = log4{(y - 9)× 3}

So, log4{(y - 9) × 3 = log4 81

Now since log 4 is common, divide everything by log 4 leave the equation

3( y - 9 ) = 81

3y - 27. = 81

3y = 81 + 27

3y = 108

y = 108/3

y = 36.

lions [1.4K]3 years ago
5 0

Answer:

y = 36

Step-by-step explanation:

log4 (y − 9) + log4 3 = log4 81

We know that loga (b) + loga ( c) = loga ( b*c)

log4 (y − 9) * 3 = log4 81

We know have loga ( BC ) = loga ( d)

This means BC = d

(y − 9) * 3  = 81

Divide each side by 3

y - 9 = 81/3

y - 9 = 27

Add 9 to each side

y-9+9 = 27+9

y = 36

You might be interested in
Akio has a business taking care of dogs. She charges a registration fee of $10, plus $5 for each hour she works.
White raven [17]

Answer:

Step-by-step explanation:Given  that

f(x)=ax+b

so registration fee=b=$10

 Each hour fee=a=$5

where  x represnts hours

when

x=0

f(0)=5(0)+10

f(0)=10

f(1)=5(1)+10

f(1)=15

f(2)=5(2)+10

f(2)=20

and so on...

5 0
3 years ago
10. Which equations could be used to solve<br> for x? Circle all that apply.
Wewaii [24]

Answer: B and D

Step-by-step explanation:

7 0
3 years ago
The local farm is advertising a special on fresh picked peaches. The farm charges $4.25 to pick
SOVA2 [1]

the cost to pick 3 pecks of peaches will be 14.75$

4 0
3 years ago
The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o
dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0
4 years ago
Read 2 more answers
Ashton bought DVD at the price of $20. If he also paid 8.5% sales tax, which is closest to the total amount that Ashton paid for
Anuta_ua [19.1K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The area of a circle is given by πr2, where r is the radius of the circle. If we use rounding to the nearest whole number, what
    13·1 answer
  • Solve p/q=r/s solve for p
    15·1 answer
  • The ratio of girls to students at a middle school is 10 to 18. If there are 270 students at the school, how many are girls?
    5·2 answers
  • Sebuah prisma dengan alas berbentuk belah ketupat mempunyai panjang diagonal 24 cm dan 10 cm. jika tinggi prisma 8 cm , maka lua
    7·1 answer
  • What is the input for which g(x)=3<br> x=
    11·1 answer
  • A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
    5·1 answer
  • The Picture below is the question
    8·1 answer
  • A tank that is 40% full contains 640 gallons of water. What it's full capacity?
    5·1 answer
  • Find the distance between points R and V.
    5·2 answers
  • Please help<br><br><br><br>don't pass this ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!