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
Sveta_85 [38]
2 years ago
15

Use log 2=a, log 3=b to evaluate log 216

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
8 0

Answer:

answer = 3(a +b)

Step-by-step explanation:

log(2)  = a \:  log(3) =  b \:  \:  \\  log(216) =  log(2 \times 2 \times 2 \times 3 \times 3 \times 3)  \\  =  log( {2}^{3}  \times  {3}^{3} )  \\  =  log(2^{3} )  +  log( {3}^{3} )   \\   = 3 log(2)  + 3 log(3)  \\  = 3(a) + 3(b) \\  = 3(a + b) \\  \\  log(216)  = 3(a + b)

You might be interested in
In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.
vfiekz [6]
The answer is 31.5%.
8 0
3 years ago
(MUST SHOW WORKING)
myrzilka [38]
First of all, keep in mind :
m --> cm = times by 100
cm --> mm = times by 10
mm --> cm = divide by 10
cm --> m = divide by 100

so we know that a square has 4 equal sides and to find the area of a square we do base*height. now these two numbers on the base and height are the same so we're basically squaring them to get the area of 81. therefore, we do the reverse so square root 81 and we get the answer 9cm

now let's convert 9cm to mm
= 9*10 = 90
area in mm = 90mm

now let's convert 9cm to meters
= 9/100=0.09
area in m = 0.09m

and finally, we already worked out the area in cm
= 9cm

hope this helped :)


3 0
3 years ago
What are the factors of 4
Nimfa-mama [501]
Factors are the numbers another number can be divided from. example-
8÷4=2, 4 is a factor of 8.

so the factors of 4 are 1,2and 4itself. like this-
4×1=4
1×4=4
2×2=4
answer- 1,2 and 4.
7 0
3 years ago
Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
zysi [14]

Answer:

The difference in slopes of f(x)\ and\ g(x) is = 3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

y=mx+b

where m represents slope and b represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

f(x) =2x +(-2)

Slope = 2 and y-intercept =-2

g(x) =(-1)x+5

Slope = -1 and y-intercept =5

The difference in slopes of f(x)\ and\ g(x) is = 2-(-1)=2+1=3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

5 0
3 years ago
Write an equation of the line passing through the points. Write the equation in general form.
Reika [66]

Answer: y=2x+8

Step-by-step explanation:

(2,12)=(x1,y1)

(-7,-6)=(x2,y2)

(y2-y1)/(x2-x1)=(-6-12)/(-7-2)=-18/-9=2=m

y=mx+b

y=2x+b

insert (2,12) to y=2x+b

12=2*2+b

12=4+b

8=b

y=2x+8

4 0
3 years ago
Other questions:
  • Which expression can be added to the right side of the equal sign form an equation? 8•7 - 4=
    15·2 answers
  • Which statement about speed and/or velocity is true? an airplane was at 34500 feet in the air before it descents the airplane de
    11·1 answer
  • Explain why 36 will have two different square roots: *
    15·1 answer
  • Matt walker is paid weekly and earns 3.5% straight commission on sales of $6,500 or less and 5% on sales in excess of $6500.last
    10·1 answer
  • 1 quart= 4cups=1.96, Each cup coat?
    11·1 answer
  • Write a quadratic equation with the given roots. Write the equation in the form ax? + bx + c = 0, where a, b,
    11·1 answer
  • HELP! &lt;3<br><br> I have other questions as well not yet posted, if you'd like more points! :3
    7·1 answer
  • Divide 216 into the ratio 1;5
    10·1 answer
  • If ben works for 12 hours, how much will he be paid?
    6·1 answer
  • A line is perpendicular to y = 3x - 8
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!