All categories

3 years ago

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

Mathematics

2 answers:

Elden [556K]3 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]3 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

A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters

natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that $p = 0.7$

20 eligible voters were randomly selected from the population of all eligible voters.

This means that $n = 20$

What is the probability that fewer than 11 of them will vote?

This is:

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308$

$P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120$

$P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039$

$P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010$

$P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002$

$P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0$

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479$

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0

3 years ago

Use four figure table to find sin 27.6°

Tresset [83]

Answer:

The answer is 0.46947

Pls mark as brainliest and follow me

3 0

3 years ago

Maths * Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 4 : 3 : 1 by weight. Hen

Mice21 [21]

Answer:

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Step-by-step explanation:

Let r be a ratio useful in determining how much of each ingredient Henry needs:

4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.

4/8 of the total 120 kg must then be 60 kg made up of cement;

3/8 must then be 45 kg made up of sand; and

1/8 must then be 15 kg made up of gravel

His 55 kg of cement is 5 kg short of the 60 kg he needs.

8 0

3 years ago

Help I’ll give brainlist helpoppspspapappa

sweet [91]

Answer:

Step-by-step explanation:

51-29 is 22

6 0

3 years ago

Read 2 more answers

HURRYYYYY!!!! I need helppppp!!

Troyanec [42]

Answer:

Step-by-step explanation:

to find x you multiply 15sqrt3 by sqrt of 3

5 0

2 years ago