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
Likurg_2 [28]
3 years ago
6

Solve without a calculator log_4(20)-log_4(45)+log_4(144)

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144=                        (log_a b- log_a c=log_a  (b/c) )
log₄[(20*144)/45]=                             (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n     ⇔      4^n=64                (log_a x=n   ⇔ a^n=x)

4^n=4³      ⇒n=3                                 (64=4*4*4=4³)

Answer: log₄20-log₄ 45+log₄144=3

You might be interested in
Can each pencil have a mass of 10.5 grams in a pack of 5 pencils weighing 60 to 95 grams?
kvasek [131]
I don't know if I'm right, but if each pencil is 10.5 grams then you multiply it by 5 ( number of pencils) and you get 52.5, which would not meet the standards of a pack weighing 60 to 95 grams.
8 0
3 years ago
What is best definition of combining like terms
Bond [772]
They are terms<span> that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only </span>like terms<span> can be combined. We combine </span>like terms<span> to shorten and simplify algebraic expressions, so we can work with them more easily.</span>
8 0
3 years ago
Sam, Maya, and John playing a match, Sam has Half of what Maya has, and maya has fewer than John with three points. Their points
Ksivusya [100]

so john is x and if Maya has the same as john but -3 then

x+x-3

but sam is still missing and she has half of Maya which is 0.5x - 1.5

so the equation is

x+x-3+0.5x-1.5=68

and then you add 3 and 1.5 to 68 which is

2.5x=72.5

and you divide by 2.5 which is 29

John has 29 points


7 0
3 years ago
Please help meee im being timed on thisss
sattari [20]

Answer:

y=0.25x

We can think of k as an unknown number.

8×_=2.00

12×_=3.00

20×_=5.00

If we divide 2 with 8 we are left with 0.25.

It's the same for the other numbers so we know the constant is 0.25.

When we use the formula y=0.25x with the numbers above, it is correct.

8×0.25=2.00

12×0.25=3.00

20×0.25=5.00

4 0
3 years ago
−7×8=?????????????????????????
Nady [450]

Answer

the answer is -56

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which contribution is a modification to Dalton's original atomic model?
    5·2 answers
  • 1.64 as a mixed number in simplest form
    9·2 answers
  • A supermarket is testing brands of microwave popcorn. For each brand, they recorded the percentage of corn kernels in a package
    11·1 answer
  • How to work out 189,232÷8
    8·1 answer
  • Given the relation in the table, what is the product of h(3) and h(5)?​
    14·1 answer
  • mhairi invest 1000 for 5 years at 4% compound interest p.a calculate how much interest she has gained over the 5 years​
    11·1 answer
  • What is 2/3 + 3/4 + 5/6 + 4/8 + 3/12 + 3/2​
    14·1 answer
  • Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ​
    9·1 answer
  • A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese?
    15·2 answers
  • Triangle QRS is translated 7 units right then rotated 90 degrees clockwise about the origin. The vertices of the triangle AFTER
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!