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
Andrew buys books and videos in a store. He uses the expression 4b + 8v to find the cost of what he is buying, where b is the nu
7nadin3 [17]

Answer:

68

Step-by-step explanation:

1) Plug In (when you plug in you replace the defined variable with the number given. usually you have to find the numbers to plug in but since they're already given to you you just plug them in.) 4(3) + 8(7)=T   T= total cost

2) Multiply 4*3=12 8*7=56

3) Add 12+56=68

4) <u>T=68</u>

7 0
2 years ago
Will mark brainliest has to be correct. ​
yarga [219]
Answer:
x=12
Step by step explanation:

7 0
3 years ago
Question: what is the graph of y= -x+2
Bezzdna [24]

Answer:

[A]

Step-by-step explanation:

3 0
2 years ago
Divide using long division. Checky<br> (x3+ 3x2 + x - 9) = (x - 1)
Montano1993 [528]

Answer:

x squared plus 2x minus 1.

Step-by-step explanation:

x3+3x2+x-9 is in the division "house" and x-1 is on the outside. xsquare times x equals x cubed. and x square times negative 1 equals -x squsre. put x square on top of the roof. change the signs. the x cubed cancels out. and bring down 2x square from subtracting 3x square and -x square and bring down the x-9. Put 2x on top of the roof too and 2x times x equals 2x square and multiply by -1. U will have 2x square -2x square and -2x plus x which equals -1x cuz the 2x square cancels out. bring down the -9. Now i have -1x-9. Multiply by -1 and put -1 on the roof. -1x+1x cancels out. and -1 times -1 equals positive 1. So -9+1=8. U van do any further cause as soon as the last number is at the end of the roof and u cant go further, ur done dividing. so the answer is x square+2x-1/×-1 +8 as the remainder. hope i helped

6 0
2 years ago
Write and evaluate the expression. Then, complete the statements.
german

Answer:

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

First, write the expression as

✔ 3k

.

Second,

✔ substitute

12.2 in for the variable, k.

Third,

✔ simplify

by

✔ multiplying

3 and 12.2.

The answer is

✔ 36.6

8 0
2 years ago
Read 2 more answers
Other questions:
  • I NEED HELP ASAP!
    9·2 answers
  • 1 2 3 000 000
    9·1 answer
  • Help! Pls pls pls! Fast!
    12·1 answer
  • Pleas answer this question now
    13·1 answer
  • Select the compound inequality shown on the graph.
    8·1 answer
  • A treasure chest sinks at a rate no less than 20 ft per second. The floor of the ocean is at most at -4200 feet. Will the treasu
    15·1 answer
  • Help please! ill mark you brainliest!
    13·1 answer
  • PLZ i need a lot of help with this question giving brainliest
    7·1 answer
  • The school is 100 meters from Miguel's house.
    14·1 answer
  • Prove that 1/1+sinA -1/1+sinA =2tanAsinA​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!