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
den301095 [7]
3 years ago
5

A teacher used the change of base formula to determine whether the equation below is correct. (log2 10)(log4 8)(log10 4)=3

Mathematics
2 answers:
Misha Larkins [42]3 years ago
7 0

Answer:

The equation is correct

Step-by-step explanation:

(log2 10)(log4 8)(log10 4)=3

Change of base formula

logb (x) = log10 (x)/ log10 (b)


Lets change all non base 10 logs to base 10 logs

(log2 10) = log10 (10)/ log10 (2)  

We know that log10 (10 ) = 1  so

(log2 10) = 1/ log10 (2)

(log4 8)  = log10 (8)/ log10 (4)

Now we can rewrite the original equation in all base 10

(log2 10)(log4 8)(log10 4)=3

1/ log10 (2) *  log10 (8)/ log10 (4) *  (log10 4)=3

I can cancel the log10 (4)/ log10 (4)

1/ log10 (2) *  log10 (8)=3

log10 (8)/ log10 (2)

We know that 8 = 2^3

log10 (2^3)/ log10 (2) =3

Remember  log a^b  = b * log a

3 * log10 (2) / log10 (2) =3

We can cancel log 10 (2)/ log10 (2)

3=3


The equation is correct


Inessa05 [86]3 years ago
3 0

Answer:

The answer is <u>b</u> on edj.

This is for those who don't want to read but credit goes to Wegnerkolmp2741o for solving the equation.

You might be interested in
Solve multi-step equation 5(x + 6)  = x + 46​
Marianna [84]

5(x+6) = x+46

or, 5x+30 = x+46

or, 5x-x = 46-30

or, 4x = 16

or, x = 16/4 = 4

The answer is 4. Please mark me Brainliest

8 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line. Which line segment in the image correspond
gladu [14]
NO-CD
AB-LM
AD-LO
CD-NO
BC-MN
4 0
3 years ago
Read 2 more answers
Mike has 19 golf balls. Fred has 3 times as many. Rayhas half as many balls as Fred and mike combined.how many golf balls do the
ZanzabumX [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend
Likurg_2 [28]

Answer:

The answer is 65%

Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)

7 0
2 years ago
Find area, round to nearest tenth
Gnom [1K]

Answer:

  160 in²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . base length b, height h

Here, the triangle has a base length of 32 in, and a height of 10 in. Its area is ...

  A = 1/2(32 in)(10 in) = 160 in²

3 0
2 years ago
Other questions:
  • Find r for the geometric series s5=244 a1=4 and a5=324
    8·1 answer
  • Prove that the value of the expression : 38^9–38^8 is divisible by 37
    13·1 answer
  • Joe spent 4 hours streaming a TV show on his phone. During that time, he used up 32% of phone battery life.
    9·1 answer
  • A certain circuit board consists of two resistors, green and red. The circuit board manufacturer has two huge bins filled with t
    10·2 answers
  • PLEAS HLP me DUMB BCUASE IM A BLOND
    12·2 answers
  • Suppose the population of a town increases by 3% each year. the population of the town today is 25,000. use compound interest ta
    11·2 answers
  • A county is in the shape of a rectangle that is 50 miles by 60 miles and has a population of 50,000. What is the average number
    7·1 answer
  • Solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.
    14·2 answers
  • A rectangle has an area of 6 1/2 square inches. It's length is 2 1/4 inches. What is the width
    13·1 answer
  • What is the answer to E= mc^2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!