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
puteri [66]
3 years ago
13

Use the laws of logarithms to rewrite the expression ln 4throot(xy) in terms of ln x and ln y. After rewriting ln 4throot(xy) =

A ln x + B ln y we find A= and B=
Mathematics
1 answer:
Ugo [173]3 years ago
4 0
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\ \quad \\\\
% Logarithm of exponentials
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\
and\qquad a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-----------------------------\\\\

\bf ln\left( \sqrt[4]{xy} \right)\implies ln\left[ (xy)^{\frac{1}{4}} \right]\implies ln\left[ x^{\frac{1}{4}} y^{\frac{1}{4}} \right] 
\\\\\\
ln\left( x^{\frac{1}{4}} \right)+ln\left( y^{\frac{1}{4}}  \right)\implies \frac{1}{4}ln(x)+\frac{1}{4}ln(y)
You might be interested in
HELP ME PLLLLZ dis is PEMDAS
hram777 [196]

Answer:

Give Branliest PLz

Answer is 15

Step-by-step explanation:

Half of 40 is 20 cause 40/2=20

Five less than 20 is 20-5 which= 15

So ur answer is 15

6 0
3 years ago
Read 2 more answers
What happens to a figure that is dilated by a factor of ½ .
marshall27 [118]

Answer:

i really dont know

Step-by-step explanation:

6 0
3 years ago
The ratio of the side lengths of a quadrilateral is 3:2:6:7, and its perimeter is 126 meters. What is the length of the shortest
scoundrel [369]

since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.


\bf \stackrel{3\cdot \frac{126}{3+2+6+7}}{3}~~:~~\stackrel{2\cdot \frac{126}{3+2+6+7}}{2}~~:~~\stackrel{6\cdot \frac{126}{3+2+6+7}}{6}~~:~~\stackrel{7\cdot \frac{126}{3+2+6+7}}{7} \\\\\\ 3\cdot \cfrac{126}{18}~~:~~2\cdot \cfrac{126}{18}~~:~~6\cdot \cfrac{126}{18}~~:~~7\cdot \cfrac{126}{18} \\\\\\ 21~~:~~\stackrel{shortest}{14}~~:~~42~~:~~49

7 0
3 years ago
If 3 of the Roberts 4 dogs are black, what percent are NOT black
Annette [7]

since 3/4 or 75% ARE black, 1/4 will not be black. 1/4=.25 which is 25%.

3 0
3 years ago
Suppose y varies directly with x. if y= 24 when x = 4, what is y when x = 9?
enot [183]

Answer: y=54

Step-by-step explanation: so 24/4 is 6 soooo 9*6=54 ez


7 0
3 years ago
Read 2 more answers
Other questions:
  • How to graph y=3x+44
    10·1 answer
  • Which expression could be used to solve the problem?
    15·1 answer
  • 2 Points
    8·1 answer
  • Which of the following is a valid probability distribution? A 2-column table labeled Probability Distribution A has 4 rows. The
    9·2 answers
  • What is the solution to y=6x+25 y=12x-9
    7·1 answer
  • What number times itself three times equals -2
    5·1 answer
  • 3. You want to plot the collinear points A(-2, 3), A'(x, y), and A"(3, 7) on the same
    8·1 answer
  • The play took in $744 one night. The number of $8 adult tickets was 12 less than twice the number of $5 child tickets. How many
    12·1 answer
  • A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pe
    14·2 answers
  • What is the best estimate for the sum of fractions 5//6 and 5/8
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!