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
erik [133]
3 years ago
6

PLS HELP!! Write the expression as a single logarithm. 3logbq + 6logbv

Mathematics
1 answer:
Alika [10]3 years ago
5 0

\bf \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of exponentials} \\\\ log_a\left( x^b \right)\implies   b\cdot log_a(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 3log_b(q)+6log_b(v)\implies log_b(q^3)+log_b(v^6)\implies log_b(q^3v^6)

You might be interested in
A student borrows a total of $5400 in student loan from two lenders. Bank One charges 4.3% simple
g100num [7]

9514 1404 393

Answer:

  $1400

Step-by-step explanation:

Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.

Then the total interest over 3 years is ...

  3(4.3%·x +5.9%(5400 -x)) = 888.60

  -1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify

  -1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60

  x = 22.40/0.016 = 1400

The student borrowed $1400 from Bank 1.

8 0
2 years ago
9. Which of the following do you need to know to determine the surface area and volume of a sphere?
Alexxx [7]

Answer:

A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

6 0
2 years ago
A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid t
elena-14-01-66 [18.8K]

Answer:

<em>AD is 6.5 units</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.

To get AD, we will use the pythagoras theorem as shown;

Hyp² = Opp² + Adj²

AD² = 6²+2.5²

AD² = 36 + 6.25

AD² = 42.25

AD = √42.25

<em>AD = 6.5</em>

<em>Hence the measure of length segment AD is 6.5 units</em>

6 0
2 years ago
Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she s
Sav [38]

Answer:

fjfjfjfjfjfj

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.
xeze [42]
Y=0 would be a horizontal line.  An asymptote is a line that a function approaches, but never reaches.  Exponential functions such as these are a smooth curve.  If both numbers are positive numbers greater than or equal to 1, the curve increases.  If at least one of the numbers is a positive number between 0 and 1, the curve decreases.  If <em>a</em> is a negative number, the curve decreases as well.  If either <em>a</em> or <em>b</em> is zero, then the graph would stay constant at 0.  However, as long as neither <em>a</em> nor <em>b</em> is zero, then this graph will never touch that point.  The only way to get an answer of y=0 is to multiply by 0.  If neither <em>a</em> nor <em>b</em> is zero, this won't happen.
6 0
3 years ago
Other questions:
  • Whatis the circumference of a circle with a radius of 34
    14·2 answers
  • In attempting to become financially organized, a person:
    10·2 answers
  • Action wheels Manufactures models of antique cars for    collectors. In August,it manufactured 300 model cars.In September, acti
    12·2 answers
  • 13. Solve –5√ x = –15. A. x = –9 B. x = –7 C. x = 9 D. x = 7
    9·1 answer
  • If the hemisphers has a radius of 3 feet, how many cubic feet of water can the water tank hold?
    8·1 answer
  • If a cube has a side length of 6.5 inches, which would be the cube's volume?
    9·1 answer
  • I'm really confused about this problem. Can somebody help me?
    10·1 answer
  • Please help! Giving brainlist!
    12·2 answers
  • Write the fraction as a decimal. Round your answer to the nearest hundredth 86/96
    10·1 answer
  • a vendor is thinking about changing the number of sweatshirts he brings to tan event. to make sure he doesn't run out, he plans
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!