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
miskamm [114]
3 years ago
8

Write the equation in logarithmic form. (1/3)^3=1/27

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

\log_{\frac{1}{3}} (\frac{1}{27})=3

Step-by-step explanation:

The given equation is

(\frac{1}{3})^3=\frac{1}{27}

We need to write the equation in logarithmic form.

Taking log on both sides.

\log (\frac{1}{3})^3=\log (\frac{1}{27})

Using the property of logarithm we get

3\log (\frac{1}{3})=\log (\frac{1}{27})           [\because \log a^b=b\log a]

Divide both sides by \log (\frac{1}{3}).

3=\dfrac{\log (\frac{1}{27})}{\log (\frac{1}{3})}

Using the property of logarithm we get

3=\log_{\frac{1}{3}} (\frac{1}{27})          [\because \log_x y =\dfrac{\log_ay}{\log_ax}]

Therefore, the logarithmic form of given equation is \log_{\frac{1}{3}} (\frac{1}{27})=3.

juin [17]3 years ago
6 0

Answer: Log1/3(1/27)=3

You might be interested in
The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle
steposvetlana [31]
Angle e = x        angle d = 5x    supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150
4 0
3 years ago
1. 14=7b<br> 2. -11=k/4<br> 3.6z=-6
Romashka-Z-Leto [24]

Answer:

the anwer is 14-2294-dhi2

Step-by-step explanation:

Because 14 is - 4 you multiple to 5 equal= dhi2

3 0
2 years ago
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
3 years ago
Why is it easy to compare a positive number and a negative number?
Elza [17]
It is easier to compare a positive number and a negative number because it’s just like regular adding
8 0
3 years ago
How do basic facts and patterns help multiply a number by a multiple of 10
ivann1987 [24]

when multiplying by 10 all you do is take the original number and add it 10 times.

5 0
3 years ago
Other questions:
  • on a farm, the farmer decides to give pizza to her 18 ducks as a special treat. she orders 3 pizzas, and the total price is $26.
    15·2 answers
  • Make q the subject of the formula 2(q+p) = 1+5q. Give your answer in the form ap-b/c where a,b and c are all positive integers
    11·1 answer
  • 20 men can complete the construction of a road in 30 days. If 5 more men join the team,In how many days will the work be over?
    15·1 answer
  • there were 600 sheep and goats in the hills. If the ratio of sheep to goats in 1 to 2, how many sheep are there
    10·2 answers
  • Expand and simplify 3(x - 2) + 2(4x - 1)
    10·1 answer
  • Which of the following is most likely the next step in the series?
    5·1 answer
  • Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the
    10·1 answer
  • –27 ≥ t/5 Please help me as soon as possible
    11·1 answer
  • Good Points for this question
    9·1 answer
  • Someone please help????????
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!