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
wariber [46]
3 years ago
6

Let u=ln x and v = ln y. Write ln y^7/x^5 in terms of u and v.

Mathematics
2 answers:
-BARSIC- [3]3 years ago
6 0

\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\qquad \leftarrow \textit{we'll use this one} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ u=\ln(x)\implies u=\log_e(x)\implies e^u=e^{\log_e(x)}\implies \boxed{e^u=x} \\\\[-0.35em] ~\dotfill\\\\ v=\ln(y)\implies v=\log_e(y)\implies e^v=e^{\log_e(y)}\implies \boxed{e^v=y} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^7}{x^5}\implies \cfrac{(e^v)^7}{(e^u)^5}\implies \cfrac{e^{7v}}{e^{5u}}\implies e^{7v}\cdot e^{-5u}\implies e^{7v-5u}

Aleksandr [31]3 years ago
6 0

Answer:

e^7v-5u

Step-by-step explanation:

You might be interested in
Matthew opens a store credit card when he purchases a new sound system. The interest rate is 22.45%. He charges $4,120 to the ca
Nookie1986 [14]

Let

C----------------- > charges for the purchases to the credit card

<span>r------------------- > the interest rate    </span>

X------------------ > total cost of the purchase

 we know that

C=4120

r= 22.45%=0.2245

X=C*(1+r)

 substituting the values ​​in the formula

X=(4120)*(1+0.2245)= (4120)*(1.2245)=5044.94

 the answer is $5044.94


6 0
3 years ago
Read 2 more answers
If 4 people each make a piece of dough and every 10days from each dough make 4 more; how many will there be after 20days
lisov135 [29]
There will be 16 pieces of dough
8 0
4 years ago
Jessie colored poster .She colored 2/5 of the poster red .Write a fraction that is equivalent to 2/5.
Inessa [10]
4/10 is equivalent to 2/5. Thx!
8 0
4 years ago
Read 2 more answers
Find the average rate of change<br> f(x)=x^2−6x+8 when x2=1 and x1=3
sergeinik [125]

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3

The formula for finding the rate of change is:

Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}

Putting the values, we get

=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2

Hence,

Average rate of change for given function is: -2

3 0
3 years ago
Read 2 more answers
Mark the Brainleist! What is the square root of 35? Explain
Softa [21]

Answer:

The square root of 35 is 5.92. I might be wrong

6 0
3 years ago
Other questions:
  • Given: AD diameter of circle P.<br> m AB + m BC = measure of<br> A)minor arc AC<br> B) major arc AC
    9·2 answers
  • Find the area of a rectangle with a length of (4x^2) and a width of (x+6)
    15·1 answer
  • PLZZZZ HELP ASAP !!!!!
    11·1 answer
  • What is the volume of a sphere that has a radius of 7 mm
    14·2 answers
  • What is the equation of the given line in standard form? Use integer coefficients y = 5/7x - 12 A. -5x + 7y = -12 B. -5x - 7y =
    12·1 answer
  • Order of operation to equivalent each expression 24 - 8 / 2 + 6 equal​
    6·1 answer
  • PLEASE HELP!! thank you
    6·1 answer
  • It takes Carleen 2 hours to paint 5 posts. Which equation could be solved to determine how many hours, h, it takes Carleen to pa
    7·2 answers
  • Turunan pertama dari f{x} = 3x⁴ - 5x² + 2x + 7 adalah...
    12·1 answer
  • The quotient of two times a number and 5 is no more than 14.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!