All categories

4 years ago

What is 3 ln 3 - ln 9 expressed as a single natural logarithm?

Mathematics

2 answers:

Elina [12.6K]4 years ago

5 0

Answer: 3

Step-by-step explanation:

marusya05 [52]4 years ago

4 0

Answer: In 3
SOLVINGS
What is 3 ln 3 - ln 9 expressed as a single natural logarithm

Since ln (m^n) = n⋅ln (m) … natural logarithmic property
We can further simplify the expression 3 ln 3
3 In 3 = In (3^3)
Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9

Since ln(m/n) =ln(m) – ln(n) … natural logarithmic property
We can further simplify the expression In (3^3) – In 9
In (3^3) – In 9 = In [(3^3)/(9)]
= In (27/9)
= In 3

Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.

You might be interested in

Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center

vlada-n [284]

Answer:

Area of regular pentagon is 238.95 square inches.

Step-by-step explanation:

Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.

we know a regular polygon divides into 5 congruent triangles.

Side of pentagon i.e base of one triangle is 11.8 inches.

Also, distance from center to middle of side which is height of triangle is 8.1 inches.

Area of 1 triangle= $\frac{1}{2}\times base\times height$

= $\frac{1}{2}\times 11.8\times 8.1$

= 47.79 sq inches.

Area of regular pentagon=area of 5 congruent triangles= $5\times 47.79$ =238.95 sq inches.

5 0

3 years ago

Solve The Inequality

sineoko [7]

Answer:

Step-by-step explanation:

I just solved it now

you are welcome

8 0

3 years ago

Read 2 more answers

Find the area of the rectangle below.

Sloan [31]

(3x-2)*(4x-7)
12x^2 - 21x - 8x + 14
(12x^2 - 29x + 14) square units
Final answer: C

7 0

3 years ago

Part A: Find the LCM of 7 and 12. Show your work. (3 points)

inna [77]

Answer:

A. 84; B. 8; C. 8 × 19

Step-by-step explanation:

Part A. Least common multiple

Step 1. List the prime factors of each.

7 = 7

12 = 2 × 2 × 3

Step 2: Multiply each factor the greatest number of times it occurs in either number.

7 has one 7; 12 has two 2s and one 3.

LCM = 7 × 2 × 2 × 3

LCM = 7 × 12

LCM = 84

Part B. Highest common factor

Find all the factors of 56 and 96.

Factors of 56: 1, 2, 4, 7, 8, 14, 28

Factors of 96: 1, 2, 4, 6, 8, 12, 16, 24, 32, 48

The highest factor that in both 56 and 96 is 8.

Part C. Factoring

56 + 96 = 8(7 + 12) = 8 × 19

The GCF is 8.

19 = 7 + 12 is the sum of two numbers that do not have a common factor.

4 0

4 years ago

Josh has been saving $24 every 3 weeks. If he continues to save at this rate, how much money will he have in 12 weeks?

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

12 ÷ 3 = 4 (therefore he is saving $24 four times in 12 weeks)

24 × 4 = 96

6 0

2 years ago