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
MatroZZZ [7]
3 years ago
9

What is the value of X if 9^x^-^1-2=25?

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

\frac{5}{2}

Step-by-step explanation:

First, add two to both sides to get 9^{x-1}=27

There are two ways to solve this from here

  1. Think about what power you would have to raise 9 to to get to 27. 9^{\frac{1}{2}} = 3 and 3^3=27. So, multiplying the powers (because it is a power to a power) you get 9^{\frac{3}{2}}=27. This means that x - 1 = \frac{3}{2} or x = \frac{5}{2}.
  2. Take the log of both sides.

This gives us \log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x

You might be interested in
What is the value of mc013-1.jpg?<br> –4<br> –2<br> 2<br> 4<br><br> the pic is the .jpg
Black_prince [1.1K]
The answer is 2 if your dividing if not comment me and ill answer it
4 0
3 years ago
Read 2 more answers
Whats an"an amount, shared equally with 4 people "<br><br> ​
aleksley [76]

well if that's in a math problem then its division. Because you are sharing equally.

6 0
2 years ago
Mrs. Kelly creates a garden. She buys 15 flowers and 3 bushes for a total cost of $160.32. Each bush costs $11.50 more than each
m_a_m_a [10]

Each bush costs $18.49

Step-by-step explanation:

Mrs. Kelly creates a garden

  • She buys 15 flowers and 3 bushes for a total cost of $160.32
  • Each bush costs $11.50 more than each flower

We need to find how much each bush costs

Assume that the cost of each flower is $x and the cost of each

bush is $y

∵ She by 15 flowers and 3 bushes for a total cost $160.32

∵ The cost of each flower is $x

∵ The cost of each bush is $y

∴ 15x + 3y = 160.32 ⇒ (1)

∵ Each bush costs $11.50 more than each flower

- That mean equate y by x plus 11.50

∴ y = x + 11.50 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∵ 15x + 3(x + 11.50) = 160.32

- Simplify the left hand side

∴ 15x + 3x + 34.5 = 160.32

- Add like terms in the left hand side

∴ 18x + 34.5 = 160.32

- Subtract 34.5 from both sides

∴ 18x = 125.82

- Divide both sides by 18

∴ x = 6.99

Substitute the value of x in equation (2) to find y

∵ y = 6.99 + 11.5

∴ y = 18.49

Each bush costs $18.49

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

3 0
2 years ago
Find the third, eighth, and tenth terms of the sequence described by the rule.
Contact [7]

Answer:

Find the third, eighth, and tenth terms of the sequence described by the rule.

A(n) = 6 + (n − 5) 2, please help!

answer choices are:

A.

−2, 0, 2

B.

2, 12, 16

C.

−4, 6, 10

D.

−8, −6, −4

Unlock your full potential

Lose the ads

Learn quicker

Earn better grades

+98

ocabanga44 and 98 others just upgraded their grades

START 7 DAY FREE TRIAL

Click to let others know, how helpful is it

2.0

5 votes

THANKS 3

Report

the answer is B

Step-by-step explanation:

8 0
3 years ago
HURRY ASAP I NEED THIS RIGHT NOW
brilliants [131]

Answer:

x=3.75

Step-by-step explanation:

-4(1.5-x)=9

first distribute

6-4x=9

then isolate the variable

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find 0.5 of 60 and 130% of 80
    11·1 answer
  • A used motorcycle is priced at $3,438. If you borrow the money for the motorcycle, your payments will be $165 a month for 24 mon
    10·1 answer
  • Prince is 6n years old. jordan is (3n + 10) years older than prince
    14·1 answer
  • Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh
    12·2 answers
  • Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)
    10·1 answer
  • heeelpppppppppppppp dewwwwwwwwwwwwwwwwwwwww now wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
    11·2 answers
  • Points free<br> what does 4:20 mean
    7·2 answers
  • the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of
    12·2 answers
  • Raymond can paint 5/8 of a wall in 16 minutes. How long would it take to for him to paint 1/3 of a wall
    11·1 answer
  • Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!