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
Mila [183]
3 years ago
9

URGENT HELP ME PLEASE

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

(a)\log_3(\dfrac{81}{3})=3

(b)\log_5(\dfrac{625}{25})=2

(c)\log_2(\dfrac{64}{8})=3

(d)\log_4(\dfrac{64}{16})=1

(e)\log_6(36^4)=8

(f)\log(100^3)=6

Step-by-step explanation:

Let as consider the given equations are \log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?.

(a)

\log_3(\dfrac{81}{3})=\log_3(27)

\log_3(\dfrac{81}{3})=\log_3(3^3)

\log_3(\dfrac{81}{3})=3        [\because \log_aa^x=x]

(b)

\log_5(\dfrac{625}{25})=\log_5(25)

\log_5(\dfrac{625}{25})=\log_5(5^2)

\log_5(\dfrac{625}{25})=2        [\because \log_aa^x=x]

(c)

\log_2(\dfrac{64}{8})=\log_2(8)

\log_2(\dfrac{64}{8})=\log_2(2^3)

\log_2(\dfrac{64}{8})=3        [\because \log_aa^x=x]

(d)

\log_4(\dfrac{64}{16})=\log_4(4)

\log_4(\dfrac{64}{16})=1        [\because \log_aa^x=x]

(e)

\log_6(36^4)=\log_6((6^2)^4)

\log_6(36^4)=\log_6(6^8)

\log_6(36^4)=8            [\because \log_aa^x=x]

(f)

\log(100^3)=\log((10^2)^3)

\log(100^3)=\log(10^6)

\log(100^3)=6            [\because \log10^x=x]

You might be interested in
A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What
Usimov [2.4K]
I think that it is saying that 8:15-8:45 is 7.5 miles right? Then 8- 8:15 is 4.5 and you are trying to find the average of an HOUR. So in order to get an hour you need 15 more mins. Which is 4.5 miles according to the chart. (8-8:15). So 4.5+4.5+7.5=16.5. Divided by three is 5.5 miles per hour. I'm not sure but this is what I would do. 
5 0
2 years ago
Re write the expressoin-21+7
blsea [12.9K]

Answer:

7-21

Step-by-step explanation:

if -a+b

is thesame according to laws of integers as

b-a

6 0
2 years ago
What is the probability of rolling an even number on a standard number cube and then rolling a one
expeople1 [14]

Answer:

multiply the chances

1/2 (every other number is even right)

1/2 x 1/6 (if it is a normal dice) = 1/12

1/12 chance

Step-by-step explanation:

4 0
2 years ago
Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.
miv72 [106K]
(0.35x + 0.14 * 18) / y = 0.23
x + 18 = y
4 0
3 years ago
Subtract<br><br>40(-32-40-25)<br>please show how you will do that (step by step)​
sergeinik [125]

Answer:

-3880

Step-by-step explanation:

40(-32-40-25)\\40(-72-25)\\40(-97)\\-3880

Please give brainliest if this answer satisfies your question.

4 0
3 years ago
Other questions:
  • Find the next number in the pattern: 3 5 11 6 7 5 14 8 12 ? Explain why
    6·1 answer
  • Is the following graph a function
    9·1 answer
  • Find the value of x that makes each equation true.
    6·1 answer
  • Molly buys a scooter for $63.00. and robert buys a soccer ball for $24.00.
    9·1 answer
  • The most common women’s shoe size in the U.S. is reported to be an 8 1/2 . A shoe store uses a table like the one below to decid
    5·2 answers
  • This is question is =5* 0.25
    15·2 answers
  • Trigonometry <br><br> its due in 20 minutes help
    8·1 answer
  • Using the graph, determine the equation of the circle
    8·1 answer
  • Hot dogs are sold in packages of 6. Hot dog buns are sold in packages of 8
    6·1 answer
  • What is the slope of the line that passes through the points (1, -9)(1,−9) and (4, -7)(4,−7)? Write your answer in simplest form
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!