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
2 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]2 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
The least common denominator of 1/2, 1/6, and 1/9 is:
solmaris [256]

Answer:

18

Step-by-step explanation:

Find the factors of each denominator

2 = 1*2

6 = 2*3

9 = 3*3

The least common multiple is

2*3*3 = 18

The least common denominator is 18

4 0
3 years ago
Read 2 more answers
-4 + 6g, for g = 4 i need in a sentence
laiz [17]

Answer:

-4+6*4 = 20

Step-by-step explanation:

If g is equal to 4 the answer is 20

8 0
3 years ago
Help!?!!!???<br> x-14=20
dalvyx [7]

Answer:

x = 34

Step-by-step explanation:

Just add 14 on both sides of the equal sign to get x = 34.

Hope this helps :)

5 0
2 years ago
Read 2 more answers
2(2x+1)=4x+2 infinite or none
fiasKO [112]
2(2x + 1) = 4x + 2

4x + 2 = 4x + 2

All real numbers are solutions :)
6 0
3 years ago
Read 2 more answers
A number y is no more than -8
Helen [10]
The answer to this is y <= -8.
6 0
3 years ago
Other questions:
  • Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
    7·1 answer
  • How to solve 4x-c=k solve for x
    9·1 answer
  • Express as a trinomial. (x - 4)(2x - 5)
    5·2 answers
  • Trigonometry Edgenuity 100 POINTS WILL MAKE BRAINLIEST
    10·2 answers
  • Pls can someone help
    7·2 answers
  • Im in need of help please and thank u
    10·1 answer
  • Solve this inequality ​
    10·2 answers
  • 7.96 x 10^2 in standard form
    15·1 answer
  • Which expressions are equivalent to g + h + (j + k)? Check all that apply.
    5·2 answers
  • What is the product of 8.2 x 10^2 and 3.4 x 10^5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!