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
s2008m [1.1K]
3 years ago
12

Solving Exponential and Logarithmic Equations In Exercise, solve for x. In 2x - In(3x - 1) = 0

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

\frac{-1}{3x^2-x}

Step-by-step explanation:

  1. If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
  2. When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)=\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}

h(x)=In(3x - 1) then h'(x)=\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}

You might be interested in
Avery has 2 blue marbles. one sixth of avery's marbles are blue. how many marbles does avery have mama 2 6 8 12
kodGreya [7K]
I don't understand Can you type it again?
5 0
2 years ago
The eurasian plate travels the slowest, at about 0.7 cm/y. How long would it take the plate to travel 3 cm?
damaskus [11]
Simply divide 3 by 0.7,

3 \div 0.7 =  \frac{30}{7}  = 4 \frac{2}{7}

Or ≈ 4.28571 which is ≈ 4 years.
5 0
3 years ago
Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
2 years ago
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with mean 1/0.41/0
lbvjy [14]

Answer:

a) P(t>3)=0.30

b) P(t>10|t>9)=0.67

Step-by-step explanation:

We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.

The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.

The probabity that a repair time exceeds k hours can be written as:

P(t>k)=e^{-\lambda t }=e^{-0.4t}

(a) the probability that a repair time exceeds 3 hours?

P(t>3)=e^{-0.4*3}=e^{-1.2}= 0.30

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?

The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.

In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

P(t>10|t>9)=P(t>1)

P(k>1)=e^{-0.4*1}=0.67

6 0
3 years ago
How do you multiply these polynomials?<br><br> 3xy^2(2y+4z)
nikitadnepr [17]

Answer:

6xy^3 +12xy^2 z

Step-by-step explanation:

3xy^2 (2y+4z)

Multiply

3xy^2 * 2y + 3xy^2 *4z

common factors

3xy^3 +3xy^2 *4z

Multiply

6xy^3 +12xy^2 z

7 0
3 years ago
Other questions:
  • If a copier contains 60% letter-size paper and 40% legal-size paper, what is the ratio of letter-size paper to legal-size paper?
    12·2 answers
  • Can someone help me with this and explain: Compute 28P7
    6·1 answer
  • If f(x) = 2x + 3 for all values of x, what is the value of f(-3)?​
    7·1 answer
  • Help me againn :D and thank you
    15·2 answers
  • Can someone plz help me with this one problem plz!!!!!
    9·2 answers
  • Solve the expression below: 3(x-3) + 2x(4x+6)=
    13·2 answers
  • Please explain this to me?​
    14·1 answer
  • Salma received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.33 per pound. After buying the
    7·1 answer
  • Which ratios are equivalent to 2:5?
    5·1 answer
  • A boxplot is also known as a/an
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!