All categories

2 years ago

3ln3-ln9 in single logarithmic form

Mathematics

1 answer:

zalisa [80]2 years ago

6 0

Remember
aln(c)=ln(c^a)
and
ln(a)-ln(b)=ln(a/b)

so

3ln3-ln9=
ln(3^3)-ln9=
ln27-ln9=
ln(27/9)=
ln3

You might be interested in

A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were

velikii [3]

Answer:

2044 cups

Step-by-step explanation:

In a quart, there are 4 cups:

1 quart = 4 cups

In 512 quarts, there will be:

4 * 512 cups = 2048 cups

If only 4 cups remained after watering, then the number of cups used to water the plants is:

2048 - 4 = 2044 cups

7 0

3 years ago

Read 2 more answers

PLEASE HELP 2x + 6 for x = 12

elixir [45]

Answer:

Step-by-step explanation:

1.Substitute the x for 12.

2.Multiply the 2 by 12.

3.Then add 6 to your answer.

8 0

2 years ago

The difference of any two negative integers is a negative integer

Vinvika [58]

Answer: look at the bottom

Step-by-step explanation:

Difference of two negative numbers may or may not be negative. It depends on the numbers taken as well as on the sequence in which they are taken. Then, a-b=b-a=0, (which is neither negative nor positive..!!!) So difference of two negative numbers may be positive, negative or even zero.

3 0

3 years ago

Read 2 more answers

A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00

Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± $z\frac{s}{\sqrt{n} }$

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± $1.96.\frac{6000}{\sqrt{12} }$

54,000 ± $1.96\frac{6000}{3.464}$

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0

2 years ago

PLEASEEE HELPPP IT DUE TODAYYY

Nimfa-mama [501]

Answer:

All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.

7 0

2 years ago