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
ozzi
3 years ago
9

Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

Answer:

-11

Step-by-step explanation:

Given

\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5

Use properties:

\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA

Thus,

\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11

You might be interested in
A pair of in-line skates is on sale for $90 if this price represents a 9% discount on the original price what is the original pe
UkoKoshka [18]
1 + 0.09 = 1.09

90 * 1.09 = 98.1

The original price of the in-line skates was $98.1
5 0
3 years ago
Read 2 more answers
The side lengths of a triangle are 5,3,and 4. Is this a right triangle
Serggg [28]

Answer:

Yes

Step-by-step explanation:

3, 4, 5 is a pythagorean triplet, meaning they satisfy the Pythagorean theorem.

7 0
3 years ago
Bello you have a great day
natita [175]
You too !! .......... :)
4 0
2 years ago
Read 2 more answers
Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dis
Ronch [10]
<h2><u>Complete Question: </u></h2>

Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dissimilar.

1. \frac{2}{3} $ and $ \frac{1}{3}

2. \frac{3}{4} $ and $ \frac{1}4}

3. \frac{4}{7} $ and $ \frac{7}{8}

4. \frac{2}{5} $ and $ \frac{5}{11}

5. \frac{7}{13} $ and $ \frac{7}{9}

<h2><em><u>The answers:</u></em></h2>

1. \frac{2}{3} $ and $ \frac{1}{3} - Similar (S)

2. \frac{3}{4} $ and $ \frac{1}4} - Similar (S)

3. \frac{4}{7} $ and $ \frac{7}{8} - Dissimilar (D)

4. \frac{2}{5} $ and $ \frac{5}{11} - Dissimilar (D)

5. \frac{7}{13} $ and $ \frac{7}{9} - Dissimilar (D)

Note:

  • Similar fractions have the same denominator. i.e. the bottom value of both fractions are the same.
  • Dissimilar fractions have different value as denominator, i.e. the bottom value of both fractions are not the same.

Thus:

1. \frac{2}{3} $ and $ \frac{1}{3} - They have equal denominator. <u><em>Both fractions are similar (S).</em></u>

2. \frac{3}{4} $ and $ \frac{1}4} - They have equal denominator. <em><u>Both fractions are similar (S).</u></em>

3. \frac{4}{7} $ and $ \frac{7}{8} - They have equal denominator. <em><u>Both fractions are dissimilar (D).</u></em>

4. \frac{2}{5} $ and $ \frac{5}{11} - They have equal denominator. <u><em>Both fractions are dissimilar (D).</em></u>

5. \frac{7}{13} $ and $ \frac{7}{9} - They have equal denominator. <em><u>Both fractions are dissimilar (D).</u></em>

Therefore, the fractions in <em><u>1 and 2 are similar (S)</u></em> while those in <em><u>3, 4, and 5 are dissimilar (D).</u></em>

<em><u></u></em>

Learn more here:

brainly.com/question/22099172

7 0
3 years ago
6 + 4/6 show all work
zvonat [6]

To answer, change the 6 into a fraction

6 x 6/6 = 36/6

36/6 + 4/6 = 40/6

Simplify

40/6 = 6 4/6, or 6 2/3 (simplified)

hope this helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the product of 3 1/8 and 12/7. Express your answer in simplest form
    13·1 answer
  • Quarter x plus eighteen equals x
    15·2 answers
  • A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?
    13·1 answer
  • 3       x<br> ---- + ----<br> x-3 x+3 <br><br> how do I solve this?
    6·1 answer
  • What conclusion can you draw from the following statements using the Law of Syllogism?
    15·1 answer
  • On a true/false test, the ratio of true questions to false questions is 3 to 7. What is the ratio of true questions to total que
    11·2 answers
  • NEED HELP ASAPPP please
    9·1 answer
  • Calculate<br>a) 20% of £150<br>b) 15% of 80 kg<br>c) 85% of 2500 m​
    12·1 answer
  • HELP ILL GIVE BRAINLIEST QUICK!!
    10·1 answer
  • if there are 20 questions on a test and I get 45% on the test how much is each question worth percent wise?? using numbers and t
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!