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
melomori [17]
3 years ago
5

For any positive number b not equal to 1 and any number or variable n, evaluate the following expression.

Mathematics
2 answers:
kirza4 [7]3 years ago
5 0

Answer:

 log_{b} b^{n} = n.

Step-by-step explanation:

Given :  log_{b} b^{n} , b is any positive number not equal to 1 and n is any number.

To find : Evaluate the expression  log_{b} b^{n}.

Formula used : log_{b} x^{y}. = y ∙ log_{b}(x) and

log_{b}(b) = 1.Solution : We have  [tex]log_{b} b^{n}.

By logarithm rule :  log_{b} x^{y}. = y ∙ log_{b}(x).

Then  log_{b} b^{n} = n∙ log_{b}(b).

By logarithm rule :  log_{b}(b) = 1.Now, n∙ [tex]log_{b}(b) = n.

Therefore,  log_{b} b^{n} = n.

Mila [183]3 years ago
5 0
The answer is n.

If: log_x(y^{z}) = z*log_x(y)
Then: log_b( b^{n}) = n*log_b(b)

If: log_x(y) =  \frac{log_z(y)}{log_z(x)}
Then: log_b(b) =  \frac{log_z(b)}{log_z(b)} =1

Therefore:
log_b( b^{n}) = n*log_b(b) =n*1=n
You might be interested in
PLEASE DO NOT BE NONSENSE​
gayaneshka [121]
7. 18.3 divided by 4 is 4.575. 4.575 is closest to 4.5 which would be our answer

8. 14.6 divided by 3 is 4.86. If we round it, then it would be 5 which would be the answer

10. The answer to the problem would be 11.58
6 0
3 years ago
Read 2 more answers
Which equation would best help solve this problem? Five added to 3 times a number is equal to 8 less than 5 times the number.
vitfil [10]
\hbox{five added to 3 times a number = to 8 less than 5 times the number} \\\\ \implies \boxed{5+3x=8-5x}
4 0
3 years ago
2/3y = 4/5 solve the equation using inverse operations
Alisiya [41]

Answer:

y=6/5

Step-by-step explanation:

Hope this helps! Sorry if its wrong

6 0
2 years ago
HELP PLEASE!
Flauer [41]
A & b would be the congruent pair of angles
8 0
3 years ago
Read 2 more answers
If the diameter of a sphere is doubled, its surface becomes
hodyreva [135]
Volumes scale as the cube of a corresponding dimension. Therefore, if the radius of a sphere is doubled (r becomes 2r), the surface area becomes 2 squared, or 4 times the original surface area. The volume would become 2 cubed, or 8 times the original volume.
8 0
3 years ago
Other questions:
  • Alex Rode her skateboard her velocity changed from 3m/s to 1m/s in 4 seconds. What was her acceleration?
    14·1 answer
  • Mateo makes 6 loaves of banana bread he sells 2/3 of the loaves
    6·1 answer
  • When completely factored, <br> is equivalent to which of the following?
    8·2 answers
  • Whats the answer to -x² +6x + 18 = 0
    13·2 answers
  • Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
    13·1 answer
  • |2x-8| + 3 = 5 two solutions
    12·1 answer
  • Simplify the expression below using laws of exponents.
    11·1 answer
  • Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in m
    7·1 answer
  • Can someone please give me the answers to all three I will be marking u brilliant
    15·2 answers
  • A national appliance store chain is reviewing the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!