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
klasskru [66]
4 years ago
9

Extension: Suppose that there is some positive number bb so that logb(5) = 0.84.

Mathematics
1 answer:
Papessa [141]4 years ago
8 0

Answer:

b = 6.79

Step-by-step explanation:

Data provided:

logb(5) = 0.84

Now,

From the properties of log function

logₓ (z)= \frac{\log(z)}{\log(x)}  (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

Thus,

logb(5) = 0.84

⇒ \frac{\log(5)}{\log(b)} = 0.84

or

log(5) = 0.84 × log(b)

or

log(5) = \log(b^{0.84})                (as log(xⁿ) = n × log(x) )

taking the anti-log both sides

we get

5 = b^{0.84}

or

b = 6.79

You might be interested in
Distributive property of 224÷7
Tcecarenko [31]
224 
-----

=1/7 (224) 

=1/7(210 + 14)

=210        14
  -----    +  ------
   7              7

= 32 






3 0
4 years ago
-2s-4s+10s <br> Simplify the expression
Agata [3.3K]

Answer:

4s

Step-by-step explanation:

You can just pretend it's like normal addition and subtraction but with s, so you do -2s - 4s + 10s = -6s + 10s = 4s.

5 0
3 years ago
Plz help meererr meeeeeeeeee
Marina86 [1]

Answer: -0.729

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
How do i solve 2(x-5)+3x=15
Savatey [412]
The answer is x=5 do u need steps?
5 0
3 years ago
Finish factoring the polynomial using factoring by grouping <br>y(y+5)+6(y+5)​
photoshop1234 [79]

Answer:

y(y + 5) + 6(y + 5) \\  = (y + 6)(y + 5)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write two decimal that are equivalent to2.50
    15·1 answer
  • Five times the sum of a number and seven is thirty. find the number.
    14·1 answer
  • A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this
    8·1 answer
  • There are six questions on Mathews test out of a 100 he got 66.67 what did he get on each of the questions if his score was 66.6
    13·2 answers
  • Find the angle in this diagram, accurate to the nearest minute. i do not understand this question some clarity would be great
    15·1 answer
  • Please help me with this im struggling​
    6·1 answer
  • Simplify 2.5 (16/2-2.3) - 2
    7·1 answer
  • F(x) = 2^x - 2
    12·1 answer
  • The speed of a stream is 5 mph. A boat travels 50 miles upstream in the same time it takes to travel 100 miles downstream. What
    14·1 answer
  • A TV has a listed price of $841.99 before tax. If the sales tax rate is 9.5%, find the total cost of the TV with sales tax inclu
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!