How do you make 3ln2+2ln4 a single logarithm?

Mathematics

2 answers:

Elden [556K]4 years ago

4 0

3ln 2 = ln 2³ = ln 8
2ln 4 = ln 4² = ln 16
Sum means it is a product:
ln (8 × 16) = ln 128

Or ln (2³×4²)

zvonat [6]4 years ago

3 0

You can do on this way
3ln2 + 2ln4 = ln 2^3 + ln 4^2 = ln 8 + ln 16 = ln 128

You might be interested in

Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two int

daser333 [38]

Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.

The statement wants us to prove;

(x+1)²-x²=x+(x+1) <-- solve left hand side

x²+x+x+1²-x²
2x+1 (solution for left hand side)

Now solve for right hand side.

x+(x+1)= 2x+1

As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.

Hope I helped :)

5 0

4 years ago

NEED MAJOR HELP FAST

Softa [21]

It’s 82 broskie dude

5 0

3 years ago

HELP ME PLEASE FAST NOW PLEASE!!! ASAP

Juliette [100K]

Range is greater for the 13-14 year olds.

6 0

3 years ago

Read 2 more answers

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The

Nadya [2.5K]

The possibilities of the price of car B are values greater than $146645 and values less than $116645

<h3>Write an absolute value inequality that describes this situation. Use x for the price of car B.</h3>

The price of car A is given as:

Car A = 131645

The price difference is given as;

Difference = 15000

The absolute value inequality is represented as:

|x - Car A| > Difference

So, we have:

|x - 131645| > 15000

Hence, the absolute value inequality is |x - 131645| > 15000

<h3>b. What are the possibilities for the price of car B?</h3>

In (a), we have:

|x - 131645| > 15000

Remove the absolute bracket

x - 131645 > 15000 and x - 131645 < -15000

Add 131645 to both sides of the inequality

x > 146645 and x < 116645

Hence, the possibilities of the price of car B are values greater than $146645 and values less than $116645