All categories

3 years ago

What is 3 In3-In9 expressed as a single natural logarithim

Mathematics

2 answers:

Alexandra [31]3 years ago

7 0

$3 \ln 3 - \ln 9 = 3 \ln 3 - \ln 3 ^2 = 3 \ln 3 - 2 \ln 3 = \ln 3$

Answer: $\ln 3$

Tanzania [10]3 years ago

6 0

Answer:

ln 3

Step-by-step explanation:

Using the rules of logarithms

• log $x^{n}$ ⇔ n logx

• log x - log y = log ( $\frac{x}{y}$ )

Given

3 ln3 - ln9, then

= ln 3³ - ln 9

= ln 27 - ln 9

= ln ( $\frac{27}{9}$ ) = ln 3

You might be interested in

Which of the following numbers is between 0.08 and 0.4?

Delicious77 [7]

Answer:

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

3 0

3 years ago

4. Determine all unknown sides and angles to 1 decimal place.

Ksju [112]

Answer:

The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees

Step-by-step explanation:

4a) Given the following

Opposite side = 38cm (side facing the given angle)

Required

Adjacent and hypotenuse side

According to SOH CAH TOA

$tan \theta = \frac{opp}{hyp}\\tan 32=\frac{38}{hyp}\\hyp=\frac{38}{tan 32}\\hyp=\frac{38}{0.6249}\\hyp= 60.81cm$

Next is to get the adjacent

$Cos 32=\frac{adj}{60.81}\\adj=60.81cos32\\adj=60.81(0.8480)\\adj= 51.57cm$

Next is to get the missing

Since sum of angle in the triangle is 180degrees

32 + 90 + x = 180

122 + x = 180

x = 180 - 122

x = 58degrees

7 0

3 years ago

State the slope and y-intercept<br> y=3x+4

WARRIOR [948]

slope intercept form: y=mx+b

y=3x+4

slope is also m

b is the y-intercept

answer:

slope is 3

y-intercept is 4

5 0

3 years ago

Read 2 more answers

Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5

Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

$x = y + 1$ --- Equation 1

From the question; we have that

$\frac{4x}{7} = \frac{y}{2} + 5$ --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

$14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5$

$2 * 4x = 7 * y + 70$

$8x = 7y + 70$ ---- Equation 3

Substitute y + 1 for x in equation 2

$8(y + 1) = 7y + 70$

Open bracket

$8y + 8 = 7y + 70$

Collect like terms

$8y - 7y = 70 - 8$

$y = 62$

$x = y + 1$

So,

$x = 62 + 1$

$x = 63$

Hence, the consecutive numbers are 62 and 63

8 0

3 years ago

Why was I wrong why is this right

shutvik [7]

Answer:

Idk?

Step-by-step explanation:

3 0

3 years ago