1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetach [21]
3 years ago
14

The steps to solve it. Unsure what step I am missing.solve: e^(6x)=6e^(x)

Mathematics
1 answer:
Inessa [10]3 years ago
7 0
<em>Solve: </em>e^{6x} = 6e^{x}

Taking the natural log of both sides will cancel out the left hand side, since exponentials and logarithmic functions are inverses of each other.

ln(e^{6x}) = ln(6e^{x})

Using the property, log(ab) = log(a) + log(b), we can simplify the right hand side, and the left side simply will cancel down to 6x.

6x = ln(6) + ln(e^{x})
6x = ln(6) + x

Isolate the variable to solve directly for x.
6x - x = ln(6)
5x = ln(6)

\therefore x = \frac{ln(6)}{5}
You might be interested in
What os the answer on 4<br> it is saying what is the value of 9
Lana71 [14]
The answer to number four is 90,000.

hope this helps!

-SummerBreaker ;)
4 0
3 years ago
2,10,18,26 find the 61st term
saw5 [17]

Answer:

482

Step-by-step explanation:

We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:

a_{n} =a_{1} +(n-1)d

Where a_{1} is the first term, a_{n} is the nth term, and d is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do 10-2, which is 8 , or the common difference. Since we have everything we need, it can be plugged into the equation:

a_{61} =2 + (61 - 1)*8\\a_{61} = 2 + 60*8\\a_{61} = 2 + 480\\a_{61} = 482

So, the 61st term is 482.

4 0
2 years ago
What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

- 2x - 14 > 0

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
According to a study conducted in one city, 34% of adults in the city have credit card debts of more than$2000. A sample n=300 i
JulsSmile [24]

Answer:

p hat≈N(0.34,0.0273)

Step-by-step explanation:

Given information p=0.34

Number of random samples=300

The sampling distribution of p hat is

p∧≈N(0.34,\sqrt{\frac{0.34(1-0.34)}{300}})

    ≈N(0.34,0.0273)

4 0
3 years ago
Which inequality has –12 in its solution set? A B C D
Feliz [49]

Answer:

Step-by-step explanation:

solve each inequality:

A : x+6<8  ,  x<-8-6 , x<-14

B: x+4≥-6 ,  x≥-10

C: x-3>-10 , x>-7

D:x≤-9

since -12 is on the left side of the number line then x≤ -9 would be the solution

7 0
3 years ago
Read 2 more answers
Other questions:
  • Substitution #1 2-8y+7y=4
    12·1 answer
  • Can you answer the question for me
    10·1 answer
  • R
    11·1 answer
  • If Jenner has 5 dollars and spends 5 dollars how much does she have now
    15·2 answers
  • Need correct answer ASAP please
    8·2 answers
  • What is the answers to the question: Which rational expression is undefined when x = 0?
    9·2 answers
  • 2.
    15·1 answer
  • 50 Points.
    6·1 answer
  • Solve x² + 5x + 6 = 0​
    12·2 answers
  • Write 1/4 as an equivalent fraction with denominator 24
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!