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
nadya68 [22]
3 years ago
7

Which of the following is equivalent to log816? a. 2 b. 1.248 c. 4/3 d. 3/4

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Answer:  The correct option is (c) \dfrac{4}{3}.

Step-by-step explanation:  We are to select the correct value that is equivalent to the following expression :

E=\log_8{16}.

We will be using the following logarithmic properties :

(i)~\log a^b=b\log a,\\\\(ii)~\log_ab=\dfrac{\log b}{\log a}.

So, the given expression becomes

E\\\\=\log_8{16}\\\\\\=\dfrac{\log16}{\log8}\\\\\\=\dfrac{\log2^4}{\log2^3}\\\\\\=\dfrac{4\log2}{3\log2}\\\\\\=\dfrac{4}{3}.

Thus, the required value is \dfrac{4}{3}.

Option (c) is CORRECT.

ElenaW [278]3 years ago
5 0
X=4/3
C 4/3 hope this helped
You might be interested in
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
topjm [15]

Answer:

Hannah is correct

Step-by-step explanation:

If it's a repeating decimal, is would be represented by 2.11 ..... But, that's not how it's represented. Therefore, Hannah is correct.

I hope this helps!

7 0
3 years ago
Jake went to the park. He spent 30 minutes walking on a trail. The rest of the time he spent relaxing in the park field. He spen
Katena32 [7]
The answer would be D: r+30=86 ; r+56
5 0
3 years ago
Read 2 more answers
use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
Jobisdone [24]

Answer:

Second Option

671 m²; 725 m²

Step-by-step explanation:

The lateral area of a triangular prism is:

A_L = Ph

Where P is the perimeter of the triangular base and h is the height of the prism.

In this case, the perimeter of the triangular base is:

P = 9 + 6+ 10.82\\\\P = 25.82\ m

Then the height is 26 m

Then the lateral area of the prism is:

A_L = 25.82 * (26)\\\\A_L = 671\ m ^ 2

Therefore the surface area of the triangular prism is:

A = 2A_B + A_L

Where A_B is the area of the base.

A_B = \frac{bh}{2}

Where b is the base of the triangle and h is the height

In this case:

b = 9\ m\\\\h = 6\ m\\\\A_B = \frac{9 * 6}{2}\\\\A_B = 27\ m ^ 2

Finally

A = 2 * 27 + 671\\\\A = 54 + 671\\\\A = 725\ m ^ 2

The answer is 671 m²  and  725 m²

3 0
3 years ago
6x-5y = 15<br><br> x=y+3<br><br> x=<br><br> y=
Zina [86]

Answer:  x = 0  y = –3

Step-by-step explanation:

We can solve this system by substitution.

use the second equation as a value for x.

Then substitute that value  in place of x in the first equation and solve for y.

6x - 5y = 15 becomes

6(y + 3) - 5y = 15  Distribute 6 × parentheses

6y + 18 - 5y = 15 combine like terms

6y -5y + 18 = 15

y + 18 = 15   Subtract 18 from both sides.

y =15 -18

y = –3

Use this value for y in either equation to solve for x

6x - 5(-3) = 15

6x + 15 = 15    Subtract 15 from both sides, divide by 6 (seems silly!)

x = 0

OR in he second equation,

x = -3 + 3  

Again, x = 0

6 0
3 years ago
7.
Brums [2.3K]
The initial value would be the first value of the function. It seems like the line starts from the point (0, 3) therefore the first value of the function, I would assume, is 3. 
5 0
3 years ago
Read 2 more answers
Other questions:
  • Capital Value An investment produces a perpetual stream of income with a flow rate of
    8·1 answer
  • What percent of 2,000 is 4?
    5·2 answers
  • Which term completes the product so that it is the difference of squares?
    10·2 answers
  • What is the value of x?
    9·1 answer
  • If it takes the Jones family 2 days to travel 1,240 miles, how many days will it take them to travel 1550 miles?
    14·1 answer
  • Which operation gives a result of 1.39? sum of 2.39 and -130 sum of 0.63 and 1.25 sum of -2.96 and 4.35 sum of -5.66 and 1.25
    13·2 answers
  • Wich expression is equivalent 1/4-3/4x​
    13·2 answers
  • A bag contains 5 red poker chips, 3 blue poker chips and 7 white poker chips. Two chips are drawn without replacement. Find the
    13·1 answer
  • If x=0, find 1÷(1/x)​
    13·1 answer
  • Find the area of the parallelogram.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!