2 years ago

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

Mathematics

2 answers:

Alexandra [31]2 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]2 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

A copy machine makes 119 copies in 4 minutes and 15 seconds. how many copies does it make per minute?

FrozenT [24]

The answer is roughly 21.4 copies per minute
an estimate

4 0

3 years ago

What is the solution to the system of equations below? y = negative one-third x + 6 and x = –6

PSYCHO15rus [73]

Answer:2

26x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

4 0

3 years ago

If r(x) = 2x^2 – 5x + 1, find r(x + 2)

quester [9]

Step-by-step explanation:

1 Expand by distributing terms.

rx+r×2

2 Regroup terms.

rx+2r

3 0

2 years ago

Help plssssssss<br> - Sorry it’s kinda a bad photo

MrMuchimi

Answer:

Step-by-step explanation:

Because if you divide them all you see that in 5 you don't get a whole number

6 0

3 years ago

A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

Marianna [84]

Answer: $y=\frac{1}{3}x+3$

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

$m=\frac{1}{3}$

Substitute the point (3,4) into the equation and solve for b:

$4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3$

Then the equation of this line is:

$y=\frac{1}{3}x+3$

3 0

2 years ago

Read 2 more answers