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
Margarita [4]
3 years ago
7

3√7 please help I dont understand

Mathematics
1 answer:
UNO [17]3 years ago
8 0
What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)

Note the following important points :

(1.) log 675 to the base 5

=> log 675 to the base ‘e’ / log 5 to the base ‘e’

=> ln 675 / ln 5

Since 675 = 5^2 × 3^3

=> ln 675 = ln [5^2 × 3^3]

=> ln (5^2) + ln (3^3)

=> 2 ln 5 + 3 ln 3

Hence, log 675 to the base 5

= ln 675 / ln 5

= [2ln 5 + 3ln 3] / ln 5

(2.) Similarly, log 3 to the base 3

=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,

Thus, (log 3 to the base 3) = 1

Hence, our problem reduces to:

(log 675 to the base 5) × (log 3 to the base 3)

=> [(2ln 5 + 3ln 3) / ln 5] × (1)

=> (2ln 5 + 3ln 3) / ln 5

=> So we only require the values of natural logarithm of 3 and 5 :)

We should remember these values, or we can always use log table.

Since ln 3 = 1.098

and ln 5 = 1.609

=> 2ln 5 = 2(1.609) = 3.218

=> 3ln 3 = 3(1.098) = 3.294

Hence,

solution : (3.218 + 3.294) / 1.609

=> 6.512 / 1.609

=> 4.047

GLAD TO HELP YOU ;))
You might be interested in
HELP WILL MARK U BRAINLIEST
Tems11 [23]

Answer:

About 57238.562767982 meters

Step-by-step explanation:

7 0
3 years ago
0.05x =0.5 can someone please helppppp!!!!!!!!!!
Tcecarenko [31]

Answer:

x equals 10

Step-by-step explanation:

you are moving the 5 from the hundredth value to the tenth, meaning it is becoming a higher number. for this one, just multiply by 10.

4 0
2 years ago
What is the equation for a line that passes through the points (5,-4) and (-10,17
maria [59]

Answer:

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( x_{1},y_{1} ) & ( x_{2}, y_{2}  )-

 y - y_{1}   = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}  ( x - x_{1}  )

i.e.  <em>y - (-4)= \frac{17 - (-4)}{-10 - 5}  ( x- 5)</em>

<em>      y + 4 = \frac{17 + 4}{ -15} ( x - 5)</em>

<em>      y + 4 = \frac{21}{-15}  ( x - 5 )</em>

<em>      ( y + 4)  =  \frac{7}{- 5} ( x - 5)</em>

<em>      5 (y + 4 ) = - 7 (x - 5 )</em>

<em>      5 y + 20 = -7 x + 35</em>

<em>      7 x + 5 y = 15</em>

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17)  is 7 x + 5 y = 15.

7 0
3 years ago
What is the related equation with the variable on one side of the equation?X+58=6then simplify to solve the equation.Drag and dr
DiKsa [7]

X=6-58

X=(-52)

You use the  inverse operation to get X by itself.


4 0
3 years ago
Use a ratio table to complete the question Valentina puts his 200 beads for $48 to make necklaces if she needs to buy 25 more be
lianna [129]

i not good at ratio but the answer (not in ratio table) is 4 i think if not sorry! i did this in my head and i have a head ace how sorry i am sorry sorry sorry i hope you pass this question! <em>sorry so sorry!</em>

7 0
3 years ago
Other questions:
  • CAN SOMEONE PLEASE HELP!!!!!!!
    8·2 answers
  • What's the answer and the work
    8·1 answer
  • Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
    5·1 answer
  • At this rate, how many hours will it take Darin to mow 12 lawns?
    12·1 answer
  • Luke receives an electric bill of $84.21\$84.21$84.21 for the month of April. The electric company charges $0.14\$0.14$0.14 per
    14·2 answers
  • Lowest terms for fractions 1/3
    9·2 answers
  • What is the square root of 70080
    9·1 answer
  • 100 students are interviewed to see which of biology, chemistry or physics they prefer.
    15·1 answer
  • Please help, it’s urgent
    9·1 answer
  • If there are 75 tickets in the dinner out<br> raffle, then how many total tickets are there?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!