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
RSB [31]
3 years ago
9

Given that log3(z - 1) - logz z = 1+ 3 log3 y, express z in terms of y.

Mathematics
1 answer:
fgiga [73]3 years ago
6 0

Answer:

  z = 1 + 9y³

Step-by-step explanation:

It looks like you have ...

  \log_3{(z-1)}-\log_z{(z)}=1+3\log_3{(y)}\\\\\log_3{(z-1)}-1=1+\log_3{(y^3)}\\\\\log_3{(z-1)}=2+\log_3{(y^3)}\qquad\text{add 1}\\\\z-1=(3^2)(y^3)\qquad\text{take antilog}\\\\\boxed{z=1+9y^3}\qquad\text{add 1}

You might be interested in
3.14•8.7•8.7•14.7 <br> Round to the nearest hundreds
Trava [24]

Answer:

3493.70

Step-by-step explanation:

if you multipy all these in a calculator you get a long number, look at the third digit behind the decimal, if its 5+ then make the second digit behind the decimal one number higher. If its 4 or under than keep the number the same. To round, cut off all the digits behind the second digit thats past the secimal

5 0
3 years ago
22. Determine the number of month in 0.25 years
REY [17]

Answer:

3 months

Step-by-step explanation:

there are 12 months in a year.

.25 is equal to a quarter of a year

12/4=3

4 0
2 years ago
Read 2 more answers
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Read 2 more answers
Simplify 22-5(2x+4)<br> a. -10x+26<br> b. -10x+2<br> c. 34x+4<br> d. 34x+68
KengaRu [80]
Hi.

22-5(2x+4) \\ \\ \implies 22-10x-20 \\ \\ \implies -10x+22-20 \\ \\ \implies -10x +2

Hence,

The correct option is \boxed{\sf b. -10x+2}

Thanks.
7 0
3 years ago
Read 2 more answers
Type the correct question of the line
GrogVix [38]

Answer:

y = 2x - 1

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • In a survey of 120 people, 18 stated they were not registered to vote. Which value would represent this group in a pie chart?
    14·2 answers
  • A dolphin dove 31 meters below the surface of the water to reach a fish. It traveled 16% of the total distance every second.
    8·2 answers
  • The place value of the 7 in 0.724
    14·2 answers
  • Need help asap<br> What is the product?
    6·2 answers
  • What is one add forty four
    6·1 answer
  • hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii i need help so ya pleasssseeeee oh and answer all of them
    5·1 answer
  • Can someone help me out with this question? The question is about circle diameters. I'm unfamiliar with finding the length of th
    15·1 answer
  • A=90<br> B=38<br> C=45<br> D=52<br> Thanks
    7·1 answer
  • Please help me with this question it is due :) question 4.
    10·1 answer
  • PLEASE HELP ASAP!!! I'LL GIVE BRAINLIEST TO WHO IS RIGHT!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!