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
Lady_Fox [76]
3 years ago
8

Write the expression as a single logarithm

Mathematics
1 answer:
klio [65]3 years ago
4 0

1/2 [3logx + logy]

Step 1:

we use the property of n logx =log xⁿ for 3 logx

so 1/2[3logx +logy]= 1/2 [log x³ + log y]

Step 2:

We use another property here log a + log b = log (ab)

1/2[log x³y]

Step 3:

we again use the property of n logx =log xⁿ, bringing 1/2 in power

[log x³y]^1/2

√log(x³y)

You might be interested in
1–5 change the following improper fractions to mixed number.
Alexxx [7]
Q1 is 2 2/3 or 2 2 out of 3 or 2.66666666667
Q5 is 3 1 out of 3 or 3 1/3 or 3.33333333
Q6 is 27/12 or 27 out of 12
Q10 is 109/10 or 109 out of 10
6 0
2 years ago
Martin scores 10% of the points in a games. if this represents 2, how many points were scored in total?
Whitepunk [10]
20 points were scored. 

Since 10% is 1/10 you can multiply his number by 10 to get the actual answer. 
8 0
3 years ago
If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?
Zielflug [23.3K]
<span>C. It has two real solutions. The discriminant in solving a quadratic equation is b^2-4ac. If this is greater than zero it has two real solutions.</span>
6 0
3 years ago
A uniform 41.0 kg scaffold of length 6.6 m is supported by two light cables, as shown below. A 74.0 kg painter stands 1.0 m from
Nimfa-mama [501]

Step-by-step explanation:

Let

m_p = mass of the painter

m_s = mass of the scaffold

m_e = mass of the equipment

T = tension in the cables

In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as

3T = (m_p + m_s + m_e)g\:\:\:\:\:\:\:(1)

Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of m_e. The net torque on the scaffold is then

T(1.4\:\text{m}) + m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m}) - 2T(5.2\:\text{m}) = 0

Solving for T,

9T = m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})

or

T = \frac{1}{9}[m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})]

\:\:\:\:= 423.3\:\text{N}

To solve for the the mass of the equipment m_e, use the value for T into Eqn(1):

m_e = \dfrac{3T - (m_p + m_s)g}{g} = 14.6\:\text{kg}

6 0
3 years ago
Use the arc length formula and the given information to find θ. s = 7 m, r = 12 m; θ = ?
dimulka [17.4K]
I think the answer is...
To divide both sides by 12!
Hope this helps! :)
:):):):):):):):):):):):):)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Last question please help((: #10
    8·2 answers
  • $9500 is invested, part of it at 12% and part of it at 9%. For a certain year, the total yield is $1032.00. How much was investe
    15·1 answer
  • I got the table part but can someone explain why is the function relate to the graph for me? Please and thank you! ^.^
    15·1 answer
  • For a school fundraiser, Samantha sold 67 cases of cookies. During the same
    6·2 answers
  • What is the inverse of the function f(x) = x – 12?
    13·2 answers
  • 3-8 Present Value of Investments 165
    7·1 answer
  • A function is defined as, f (x) = -3x^2 + 2x - 5 what is f (-1)
    13·1 answer
  • Based on your understanding of sound waves,
    7·1 answer
  • What is the y-value when the x-value is 19?
    15·1 answer
  • Kayden buys bottles of grapefruit juice at the corner store. Assume each bottle of juice is the same price. The proportional rel
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!