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
Nitella [24]
3 years ago
14

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that

can be evaluated without a calculator. log3(135x+81y)
Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

\mathbf{1 +  log_3 ( 45x + 27y)}

Step-by-step explanation:

Given that:

log_3 (135x + 81 y) \\ \\  = log_3 [ 3 (45x + 27y) ]

Since log (ab) = log \  a +log  \ b

Then

log_3 [ 3 (45x + 27y) ] = log_3 (3) + log_3 ( 45x + 27y)

Since log_a (a) = 1

Then

log_3 (3) + log_3 ( 45 + 27y) = 1 +  log_3 ( 45x + 27y)

You might be interested in
Solve for c when a=11+4b-4c
Marina86 [1]
11+4=15-4=11
So a=11 I think so am not sure
3 0
4 years ago
Read 2 more answers
How do you determine if a relation is quadratic by calculation differences, analyzing a graph, examining the degree in an equati
Kryger [21]

1) We can determine by the table of values whether a function is a quadratic one by considering this example:

x | y 1st difference 2nd difference

0 0 3 -0 = 3 7-3 = 4

1 3 10 -3 = 7 11 -7 = 4

2 10 21 -10 =11 15 -11 = 4

3 21 36-21 = 15 19-5 = 4

4 36 55-36= 19

5 55

2) Let's subtract the values of y this way:

3 -0 = 3

10 -3 = 7

21 -10 = 11

36 -21 = 15

55 -36 = 19

Now let's subtract the differences we've just found:

7 -3 = 4

11-7 = 4

15-11 = 4

19-15 = 4

So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.

3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2

4 0
1 year ago
Please help I need to do this for homework but I have zero clue what to do.
Serhud [2]

Answer:

20

Step-by-step explanation:

12²+16²=400.

\sqrt{400}=20

6 0
3 years ago
F(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)<br><br> Find f(g(x))
Hitman42 [59]

Answer:

F(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)

f(g(x))= √[{√(x-2)²+3}]

         =√[{x-2+3}]

         √(x+1)

Step-by-step explanation:

3 0
3 years ago
A bag contains seven red balls, five green balls, four yellow balls, and two black balls. A ball is picked at random
RSB [31]

Answer:

50/50 chance a black ball will be picked

8 0
3 years ago
Other questions:
  • What is the answer ?
    9·1 answer
  • Use the confidence interval to find the margin of error and the sample mean (0.118,0.220)
    11·1 answer
  • Please help a) <br>B) <br>C)
    8·1 answer
  • 16= -5+z/4<br> a. 69<br> b. -1<br> c. 9<br> d. 59
    7·2 answers
  • Rewrite 9 over 6 as a equivalent fraction and percent
    13·1 answer
  • Evaluate h(x) = -2x + 9 when x = -2.0. and 5​
    9·1 answer
  • Mariel wrote these checks from her checking account: $10, $10, $31, and $10. Which number shows the change of balance in her che
    12·2 answers
  • Please solve the question
    13·1 answer
  • 4% of what number is 44?
    5·2 answers
  • Which property is this an example of?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!