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
Nataly_w [17]
3 years ago
14

Solve log4 (y – 9) + log4 3 = log4 81.

Mathematics
2 answers:
avanturin [10]3 years ago
3 0

\text{Domain}\\\\y-9 > 0\to y>9\\\\------------------------\\\\\log_4(y-9)+\log_43=\log_481\qquad\text{use}\ \log x+\log y=\log(xy)\\\\\log_4[3(y-9)]=\log_481\qquad\text{use distributive property}\\\\\log_4(3y-27)=\log_481\iff3y-27=81\qquad\text{add 27 to both sides}\\\\3y=108\qquad\text{divide both sides by 3}\\\\\boxed{y=36}\in D\\\\Answer:\ \boxed{y=36}

omeli [17]3 years ago
3 0

Answer:

y = 36

Step-by-step explanation:

log4 (y – 9) + log4 3 = log4 81.

We know from the property of logs that if the bases are the same, when we subtract logs, we can divide what is inside

loga (b) + loga (b) = loga (b*c)

Lets simplify the expression log4( (y-9)*3) = log4 (81)

Since the bases are the same, what is inside the parentheses on the left hand side  must be equal to what is inside the parentheses o the right hand side

(y-9)*3 = 81

Divide each side by 3

(y-9)*3 /3= 81/3

y-9 = 27

Add 9 to each side

y-9+9 = 27+9

y = 36

You might be interested in
4.5+3.14159265359 is
belka [17]
So this question you just add..... but this is irrational because it does not terminate meaning the decimal doesnt end home this helped have an amazing day!
5 0
3 years ago
Read 2 more answers
the angle of elevation from point c to the top of the cliff is 34°. if point c is 1,000 ft from the base of the cliff, how high
Yanka [14]

Answer:

675 ft (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

7 0
3 years ago
Read 2 more answers
PLS HELP ME 16 and 17
mixer [17]
The distance is 36 from 16 there u go
4 0
3 years ago
What is the LCM of 16a^3b and 24ab^2 ? A) 48a^3b^2 B) 96a^3b^2 C)8ab^2 D)2ab^2
Drupady [299]
16a^3b = 2^4a^3b
24ab^2 = 2^3*3ab^2

lcm = 2^4*3*a^3b^2 = 48a^3b^2 so choice A) is right sure 
7 0
3 years ago
Caroline purchased a car four years ago at a price of $28,400. According to research on this make and model, similar cars have s
gogolik [260]

Answer:

The car value is $13,312.50

Step-by-step explanation:

Trust me this stuff is easy

3 0
3 years ago
Other questions:
  • What is 2 and negative three using integers​
    12·1 answer
  • Kendra is building a back yard fence two of the sides are 43ft, and the other two sides are 57ft. How much fencing does Kendra n
    5·2 answers
  • State whether the ratios form a proportion.
    8·1 answer
  • If one leg of a 45-45-90 triangle is 12 cm, find the length of the hypotenuse.
    10·2 answers
  • Which sentence represents the inequality -2b + 7 &gt; 27.5?<br> Help PLEASE!
    13·2 answers
  • Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00 AM, stopped for lunch for 30 minutes, an
    9·1 answer
  • How long does it take to travel 300 mi at a constant speed of 15 mi/h?
    8·2 answers
  • A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the
    8·1 answer
  • how do you have a reflection in the x axis, if the shape is already partially in the third and second quadrent of the graph
    11·1 answer
  • Jonathan works at an advertising agency. When he was hired, he was given four days of paid vacation time. For each year that he
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!