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
Nastasia [14]
3 years ago
5

Solve the following equations. √3 ⋅ 3^3x = 9

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

The solution is x = 0.5

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

\sqrt{a} = a^{0.5}

So

\sqrt{3} = 3^{0.5}

And

9 = 3^{2}

This following property is also important:

\frac{a^{b}}{a^{c}} = a^{b-c}

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

\sqrt{3}.3^{3x} = 9

3^{0.5}.3^{3x} = 3^{2}

3^{3x} = \frac{3^{2}}{3^{0.5}}

3^{3x} = 3^{2-0.5}

3^{3x} = 3^{1.5}

This means that:

3x = 1.5

x = \frac{1.5}{3}

x = 0.5

You might be interested in
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad
ludmilkaskok [199]

Answer:

its c

Step-by-step explanation:

bro bro if anyone did that's stuff laugh at them and move on with ur life dont let people like them ruin your motivation to move forward there the type of toxic people to hold u back but like i said the girls got u bro

5 0
3 years ago
Read 2 more answers
I need help plz my mom is making me do more questions and I need to check them.
yuradex [85]
Perimeter of square = 4s perimiter of pentagon= 5s, i guess? its a regular one afterall 4s = P 4 (10) = p 40 = P (40 = 5s)/ 5 8 = s


Sorry I dont know how to answer the second one...

4 0
3 years ago
Read 2 more answers
3 • X = 5.25.<br> What is X?
Archy [21]
Your answer will be x=1.75
3 0
3 years ago
Read 2 more answers
Point A is at (3, 2.7) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe
lisov135 [29]
The points have the same x-coordinate, so they lie on a horizontal line. The distance between them is the difference between their y-coordinates.

2.7-1.4=1.3

The distance between the two points is 1.3.
4 0
3 years ago
Read 2 more answers
after every 9th visit to a restaurant you receive a free beverage after every 12th visit you receive a free appetizer if you vis
Fed [463]
100th visit this is easy
5 0
3 years ago
Other questions:
  • 2/3x + 2= 21/3 solve for x a. 0 b. 1/2 c -2 d. 2
    13·1 answer
  • Skyler paid 8.95 for 5 pounds of nectarines. What is the unit rate?
    5·1 answer
  • At camp, 5 children are playing games and 4 children are making crafts. 5 other children are having a snack. how many children a
    13·1 answer
  • Бn9 x 000 |<br> 1000x372
    6·1 answer
  • Please help! I will mark Best answer
    5·2 answers
  • An estimate for - ✓ 72 is<br> A.- 8.1<br> b. - 8.5<br> c. -9.1<br> d. -9.5
    5·1 answer
  • Please answer this for me
    7·1 answer
  • The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to
    7·1 answer
  • Help help help help help help help help help help help <br><br> Pls
    9·2 answers
  • PLEASEPLEASEPLEASE!! Find the length of line AB.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!