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
Trava [24]
3 years ago
9

(27^-x+3)(9^x+1)=81 what is answer?

Mathematics
1 answer:
Leni [432]3 years ago
6 0
(27⁽⁻ˣ⁺³⁾) (9⁽ˣ⁺¹⁾) = 81

Instead of using logarithmic to find x, Notice that 27, 9 and 81 are the perfect powers of 3. Since 27 = 3³, 9 = 3², and 81 = 3⁴, so

(3³⁽⁻ˣ⁺³⁾) (3²⁽ˣ⁺¹⁾) = 3⁴
3³⁽⁻ˣ⁺³⁾⁺²⁽ˣ⁺¹⁾ = 3⁴

If the bases are the same, then cancel it and bring the power as a new base.
3(-x+3) + 2(x+1) = 4
-3x + 9 + 2x + 2 = 4
-x + 11 = 4
-x = 4 - 11
-x = -7
x = 7
You might be interested in
A rectangular room measures 15 feet by 20 feet. The ceiling is 9 feet high. What is the total area of the four walls? (to the ne
frozen [14]

Answer:

Answer:

825 feet of area of the wall  required to be  painted.

Explanation:

Given:

Length of the room = 15 feet

Width of the room =12 feet

Height of the room = 9-foot

Size of the door= 3 feet x 7 feet

To find:

The area of the walls that requirespainted=?

Solution:

We know that,  

Area of walls that need paint = total surface area of room – area of door that doesn’t need paint…………(1)

Finding the Total area of the room:

room is cuboidal shape,  

Then, its total surface area = 2(lb + bh + hl)

Where

h is height,  

l is length,

b is width  

Substituting the values,

Total surface area = 2(15 x 12 + 12 5 9 + 9 x 15)  

Total surface area = 2(180+108+135)

Total surface area = 2( 423)

Total surface area =  = 846 feet…………..(2)  

Finding the area of the door:

Area of door = area of rectangle = length x width

Substituting the values,

area of door= 3 x 7 = 21 feet……………(3)

Substituting (2) and (3) in (1)

Area that  is require paint = 846 – 21 = 825 feet

3 0
4 years ago
1. Alexa drove 5 miles from home to school. Then, taking a different route, she drove 4 3/5 miles back home. What was the total
jenyasd209 [6]

Answer:

5x4 3/5=23

Step-by-step explanation:

take the 5 miles from home to school then basically you do it 4 and 3/5 more times so just multiply.

3 0
3 years ago
How would you write a word phrase for the algebraic expression d/5+2? The difference between the quotient of d and 5 and 2? The
krek1111 [17]

Answer: The word phrase for this expression is the last option, "The sum of the quotient of d and 5 and 2." d is being divided by 5, so we would use "quotient of d and 5" for that part, and then we would add the "sum" because d/5 is being added to 2.

5 0
3 years ago
What is the mean of the normal distribution shown below? -1 0 1 2
Alisiya [41]

Answer:

Should be 1/2, or 0.5

Step-by-step explanation:

The mean is the average, so we divide the sum of the numbers(-1+0+1+2=2) by the quantity(4).

6 0
3 years ago
Read 2 more answers
What is 309,017 in expanded form
WINSTONCH [101]
The answer is 300,000+9,000+10+7
5 0
4 years ago
Read 2 more answers
Other questions:
  • Damian is paid $1,980 monthly. What is his annual salary?
    10·2 answers
  • The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute
    15·2 answers
  • What is the sum of a 6-term geometric series if the first term is 21 and the last term is 1,240,029?
    9·2 answers
  • A rectangle has a length of 6x +3 units and a width of 8 units. Part A: Write a simplified expression for the area, in square un
    13·1 answer
  • The sum of 1/9 2/3 and 5/18 is what
    8·2 answers
  • Supplementary angles angles are two angles whose measures have a sum of ___. complementar angles are two angles measures have a
    9·1 answer
  • 10 points
    10·1 answer
  • How do i solve this system. <br> x = 2/3<br><br> y= x^2+20
    11·1 answer
  • Write in standard form. a) 2 4 b) 10 3 c) 3 5 d) 7 3 e) 2 8 f) 4 1 <br><br> PLZ HELP!!!!!
    9·1 answer
  • Evaluate the expression when x = 48 and y = 13.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!