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
Effectus [21]
3 years ago
8

Express the given quantity as a single logarithm. ln x + a ln y − b ln z

Mathematics
1 answer:
professor190 [17]3 years ago
6 0
The rules of logarithms tell you ...
• \ln(a)+\ln(b)=\ln(a \cdot b)
• a \cdot \ln(b)=\ln(b^{a})

\ln(x)+a \cdot \ln(y)-b \cdot \ln(z)=\ln\left( \dfrac{x \cdot y^{a}}{z^{b}} \right)
You might be interested in
eight more than the product of four and a number is equivalent to seven less than the same number in equation form.
Georgia [21]
4n + 8 = n - 7
(In which 'n' represents the unknown number)

(4n + 8): "Eight more than the product of four and a number"

(= n - 7): "Is equivalent to seven less than the same number in equation form."

Subtract 8 from both sides:
4n = n - 15

Subtract n from both sides:
3n = -15

Divide both sides by 3:
n = -5
5 0
3 years ago
Which statements are true? *<br> 1:2 = 50:100<br> 2:1 = 50:100<br> 1:2 = 2:1<br> 3:4 = 9:12
Bumek [7]
1:2 = 2:1 is the statement
6 0
4 years ago
P is the product of 7 to the sum of 3 and 9
Colt1911 [192]
The equation: P×7+3+9
5 0
4 years ago
Worth 20 points!! If you answer wrong or something not related to the question I will report you! Thanks :)
KonstantinChe [14]

A

f(x) = 2x + 1

f(3) = 2*3 + 1 = 7

B

g(x) = x^2

g(7) = 7^2

g(7)= 49

C

f(g(x)) = 2(g(x) + 1

f(g(x)) = 2 x^2 + 1

f(g(3) = 2* 3^2 + 1

f(g(3) = 19

D

g(f(x)) = (f(x))^2

g(f(x)) = (2x + 1)^2

g(f(3)) = (2*3 + 1)^2 = (6 + 1)^2 = 49

E

f(g(x)) = 2*g(x) + 1

f(g(x)) = 2*x^2 + 1

f(g(3)) = 2*3^2 + 1

f(g(3)) = 2 * 9 + 1

f(g(3)) = 18 + 1

f(g(3) = 19

F

f(g(x)) = 2(g(x)) + 1

f(g(x)) = 2*x^2 + 1  

4 0
3 years ago
You want to take a trip to the beach, which costs $450. You
poizon [28]

Answer:

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks

7 0
2 years ago
Other questions:
  • You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
    11·1 answer
  • Find the value of x help 10 points
    11·1 answer
  • The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are ther
    10·1 answer
  • what is the number called if you pull out a number from an equation example is in the picture (the number the arrow is pointing
    6·1 answer
  • All of the following expressions have the same value except _____.
    10·2 answers
  • When Zack checked his solution, it didn’t work. What was his mistake?
    13·2 answers
  • What is 6a&lt;42 and a + 4&gt;7
    7·1 answer
  • Hey guys i need help :) :) <br> its due tomorrow so plz hurry :) :)
    14·2 answers
  • Calculate the measure of ABC to the nearest tenth of a degree.
    9·1 answer
  • Math pls patulong
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!