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
uranmaximum [27]
3 years ago
10

Solve (1/81)^x*1/243=(1/9)^−3−1 by rewriting each side with a common base.

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

Step-by-step explanation:

you have the following formula:

(\frac{1}{81})^{\frac{x}{243}}=(\frac{1}{9})^{-3}-1

To solve this equation you use the following properties:

log_aa^x=x

Thne, by using this propwerty in the equation (1) you obtain for x

log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

You might be interested in
What is 8 lb. 12 oz. − 5 lb. 5 oz. ?
marysya [2.9K]
3 7 is the answer I hope this helps
7 0
2 years ago
Read 2 more answers
Rewrite the decimal as a simple fraction in lowest terms. 0.005
ElenaW [278]

Answer:

1/200

Step-by-step explanation:

the answer is that 0.005 is 1/200

6 0
2 years ago
Read 2 more answers
Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the n
krek1111 [17]

Answer:

A

Step-by-step explanation:

I agree with Katie because number is legs is directly proportional to the number of ants.

1 ant has 6 legs.

So, 2 ants have 6 *2 = 12

3 ants have 6*3 = 18

6 0
2 years ago
12 x+12y = 156<br> 4x + 6y =62 I need help please
mojhsa [17]

Answer:

{x,y}={8,5}

Step-by-step explanation:

12x + 12y = 156  4x + 6y = 62

8 0
3 years ago
Steps for solving rational equations
Murrr4er [49]

Answer:

1. Find the common denominator.

2. Multiply everything by the common denominator.

3. Simplify.

4. Check the answer(s) to make sure there isn't an extraneous solution.

Step-by-step explanation:

Hope this helps!

5 0
2 years ago
Read 2 more answers
Other questions:
  • 2. Does the set of numbers form a Pythagorean triple? Explain.
    5·1 answer
  • Cari owns a horse farm and a horse trailer than can transport up to 8000 pounds of livestock and tack. She travels with 5 horses
    8·1 answer
  • Please help
    11·1 answer
  • The sum of three consecutive even numbers is 78,find the number​
    7·1 answer
  • Write a real-life word problem that matches the equation ( 1 5 ) ÷ 3 =
    15·2 answers
  • MAKE SURE TO SHOW YOUR WORK (please)
    7·2 answers
  • If x÷36= -234 what is the value of x​
    15·2 answers
  • Friends help me out<br><br><br>state true or false<br><br>0 is the multiplicative inverse of 0?​
    12·1 answer
  • Kelly is paid $20 to babysit for 8 hours. How much is she paid per hour?
    14·2 answers
  • {3x+y=2<br> {6x +2y=4<br><br> i think it’s system of equations
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!