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
solniwko [45]
3 years ago
6

Solve the equation: log3 ( x^9) =12

Mathematics
2 answers:
saul85 [17]3 years ago
4 0
I hope this helps....

melomori [17]3 years ago
4 0
X = 4.326748711
To solve this, raise 3 to the 12th power, and solve for x. 
log3(x^9)=12
Take the number in front of the log, 3
Raise it to the number on the other side of the equation, 12
Set that equal to the expression in parentheses
So, we have 3^12=x^9
Solve it like a normal equation by simplifying
3^12= 531441, so
531441=x^9
to get x by itself, take the 9th root of both sides. If you're using a TI-84, you can do this by going to MATH>5 and then typing in the root 
x = 4.326748711
You might be interested in
A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps​ them, it wi
Stels [109]

It takes 9 hrs 19.8 minutes  for the student teacher to grade the exams if they worked​ alone

<u>Solution:</u>

Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”

Here the word efficiency means the rate of doing work

Let the total work to be completed be W

According to the question,

The time taken by the school teacher to complete the work is 7 hrs.

So we can write it in equation form

W = x \times 7  ---- eqn 1

where W is the total work and x is the efficiency

Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as

W =(x +y ) \times 4

Equating eqn 1 and 2

x \times 7=(x+y) \times 4

7x = 4x + 4y

3x = 4y

So in ratio x : y = 4 : 3

Now putting value of x = 4 in equation (1) we get total work to be 28

Now, <em>total time taken by the student teacher = total work ÷ efficiency of student teacher</em>

Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs

= 9 hrs 19.8 minutes

Hence it takes 9 hrs 19.8 minutes  for the student teacher to grade the exams if they worked​ alone

4 0
3 years ago
Range of scores making up the interquartile ranger
Nostrana [21]

For a standard normally distributed random variable <em>Z</em> (with mean 0 and standard deviation 1), we get a probability of 0.0625 for a <em>z</em>-score of <em>Z</em> ≈ 1.53, since

P(<em>Z</em> ≥ 1.53) ≈ 0.9375

You can transform any normally distributed variable <em>Y</em> to <em>Z</em> using the relation

<em>Z</em> = (<em>Y</em> - <em>µ</em>) / <em>σ</em>

where <em>µ</em> and <em>σ</em> are the mean and standard deviation of <em>Y</em>, respectively.

So if <em>s</em> is the standard deviation of <em>X</em>, then

(250 - 234) / <em>s</em> ≈ 1.53

Solve for <em>s</em> :

16/<em>s</em> ≈ 1.53

<em>s</em> ≈ 10.43

4 0
3 years ago
Last month Margo bought a tree that grows 2.5cm each day. It was 5 cm talk when she bought it and now it is 65 cm tall
Zolol [24]
If it’s asking how old was it when she bought it, it was two days old

if not then you gotta be more specific but i’m gladly able to help if you provide more info

if it’s asking how long it’s been exactly since she bought it then the answer is it has been 26 days
7 0
3 years ago
Solve for y:<br> 4x + 3y = -6
mr_godi [17]

Answer:

y = -4/3X - 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the measure of the angle?​
maksim [4K]

The angle is a 90 degree angle.

8 0
3 years ago
Read 2 more answers
Other questions:
  • What are the slope and the y-intercept of the linear function that is represented by the table?
    7·2 answers
  • the average or the blank is the blank divided by the blank or the amount of numbers being divided is what ​
    11·1 answer
  • Plz help iam new i rlly need help
    12·1 answer
  • What is the slope, y-intercept, and x-intercept of (7,-6) and (10,9)
    9·1 answer
  • Perform the indicated operations. reduce fractions to lowest terms. (do not use an improper fraction in the answer.) subtract 10
    12·1 answer
  • In triangle ABC, the measure of angle BCA is 90, segment AC is 12 units, and segment BC is 9 units. If D is a point on hypotenus
    13·1 answer
  • The sum of 14 and which number will equal -3
    13·1 answer
  • Help?! No clue about functions...
    8·2 answers
  • The Line A bus arrives at the bus stop every 25 minutes and the Line B bus arrives every 15 minutes. Both are at the bus stop ri
    12·1 answer
  • Noah has 5 cards and Sofia has 3 times that but Jack has 5 times that what is the amount that jack has
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!