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
BARSIC [14]
2 years ago
8

Write log3 6 as a logarithm of base 2.

Mathematics
1 answer:
Sever21 [200]2 years ago
4 0
Use:\\\log_ab=\dfrac{\log_cb}{\log_ca}\ and\ \log_ab+\log_ac=\log_a(bc)\\\\\log_36=\dfrac{\log_26}{\log_23}=\dfrac{\log_2(2\cdot3)}{\log_23}=\dfrac{\log_22+\log_23}{\log_23}\\\\=\dfrac{\log_22}{\log_23}+\dfrac{\log_23}{\log_23}=\boxed{\dfrac{1}{\log_23}+1}\\\\other\ method\\Use:\\\log_ab=\dfrac{1}{\log_ba}\\\\\log_36=\log_3(2\cdot3)=\log_32+\log_33=\log_32+1=\boxed{\dfrac{1}{\log_23}+1}
You might be interested in
Bishon needs to sell at least 0.3 of his collection of sports cards to
diamong [38]

Answer:

no because 3/20 is eguivilent to 0.15 whitch is half of 0.3

3 0
2 years ago
Read 2 more answers
: A new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
d1i1m1o1n [39]

Answer:

2 bears in 2020.

Step-by-step explanation:

We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

We will use exponential decay formula to solve our given problem as:

y=a\cdot (1-r)^x, where,

y = Final quantity,

a = Initial value,

r = Decay rate in decimal form,

x = Time

20\%=\frac{20}{100}=0.20    

Upon substituting our given values in above formula, we will get:

y=150(1-0.20)^x

y=150(0.80)^x, where x corresponds to year 2000.

To find the population in 2020, we will substitute x=20 in our equation as:

y=150(0.80)^{20}

y=150(0.011529215046)

y=1.7293822569    

y\approx 2

Therefore, 2 bears are there predicted to be in 2020.

Since population is decreasing so population is best described as exponential decay.

8 0
3 years ago
Whatcha statements describes the graph of the system of equations
ch4aika [34]

Answer:

Lines are parallel

Step-by-step explanation:

6 0
3 years ago
A class of 260 students went on a field trip. They took 12 vehicles, some cars and some buses. Find the number of cars and the n
Afina-wow [57]
The equation is 5c+25b=260 when c+b=12. rearrange that into 12-b=c. substitute and you get 5(12-b)+25b=260. b=10. 12-10=2, so 10 buses and 2 cars were used as transportation for the field trip.
5 0
3 years ago
Somebody please help me idk what to do ‍♂️‍♂️
Arte-miy333 [17]

Answer:

21

Step-by-step explanation:

Note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

5! = 5 × 4 × 3 × 2 × 1

2! = 2 × 1

Hence

cancel 5 × 4 × 3 × 2 × 1 on numerator/ denominator, leaving

\frac{7(6)}{2(1)} = \frac{42}{2} = 21

8 0
3 years ago
Other questions:
  • Please help me with this question
    12·1 answer
  • Chords AC and BD intersect at the center of circle ABCD. Which is the measure of the minor arc AB?
    7·2 answers
  • In ΔQRS, s = 7.9 cm, ∠Q=125° and ∠R=23°. Find the length of q, to the nearest 10th of a centimeter
    15·1 answer
  • Si una bolsa de plástico pesa cuatro kilogramos y contiene tres latas con atún y dos de mermelada, y en otra bolsa contiene dos
    13·1 answer
  • This is the first quadrant graph of an even function. On a coordinate plane, a function has four connecting parts. The first par
    9·2 answers
  • What’s (2.5,6) dilated by a scale factor of 2?
    8·1 answer
  • Find two numbers that multiply to -72 and add up to -1​
    8·1 answer
  • Find the distance between the two points in simplest radical form.<br> (8, -3) (6, -8)
    10·1 answer
  • This is not a multiple choice, I need your help!
    9·2 answers
  • What is the ratio 6:24 in lowest terms
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!