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
blagie [28]
3 years ago
15

If

n="absmiddle" class="latex-formula"> and \sf b = log_54, find \sf log_615 in terms of a and b.​
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

  • (4a + b)/(2ab + b)

Step-by-step explanation:

<h3>Given</h3>
  • a = log9 2
  • b = log5 4
<h3>To find</h3>
  • log6 15 in terms of a and b
<h3>Solution</h3>

<u>Rewrite the given</u>

  • log9 2 = a ⇒ log2/log9 = a ⇒ 1/2*log2/log3 = a ⇒  log3 = 1/2*log2/a
  • log5 4 = b ⇒ log4/log5 = b ⇒ log5 = 2*log2/b

<u>Rewriting the log6 15:</u>

  • log6 15 = log15/log6= (log 5 + log3)/(log2 + log3)

<u>Substitute as follows:</u>

  • (log 5 + log3)/(log2 + log3) =
  • (2*log2/b + 1/2*log2/a)/(log2 + 1/2*log2/a) =
  • (2/b + 1/(2a))/(1 + 1/(2a)) =
  • (4a + b)/2ab ÷ (2a + 1)/2a =
  • (4a + b)/(2ab + b)
You might be interested in
Simplify the ratio 24:120
Vaselesa [24]
24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

24:120 / 24:24 = \\  1:5
3 0
2 years ago
Read 2 more answers
Find the product. 1/8 times 8 to the square root
Nastasia [14]

Step-by-step explanation:

The product 1/8 times 8 to the square root

3 0
2 years ago
Read 2 more answers
Solve for y: 7x+8y s 14-16
romanna [79]

Answer:

y≤ -1/4 - 7x/8

Step-by-step explanation:

7 0
3 years ago
Ed intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will
Stells [14]
The answer is Each roll has a 0.333 probability of being composite.

<em>(I just took the test, B was the answer)</em>

8 0
3 years ago
Read 2 more answers
Write 7.12 as a mixed number in simplest form.
andrezito [222]

Answer:

7 3/25

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is NOT a true statement?
    7·1 answer
  • A mint produces 150,000 souvenir coins each year. IN a random sample of 400 coins, 3 have a misprint. Predict the number of coin
    14·1 answer
  • Sample size is not an important consideration when planning research and evaluations.
    13·2 answers
  • If the length of the rectangle is twice the width and the perimeter of the rectangle is 30 cm, what is the length and width of t
    15·1 answer
  • Ronna answered 18 of the 20 questions on her second math test correctly. On the first test, she had answered only 15 of 20 quest
    7·1 answer
  • What is the constant of proportionality for the relationship shown in this table
    7·2 answers
  • Help me please and sorry for all of the questions.
    13·2 answers
  • PLZ HELP ME NOW!!!!!!!!
    14·1 answer
  • What is the first step to solving this equation?
    8·1 answer
  • What is the area of the quadrilateral below?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!