Sign In
Ask Question
Kael Sanchez
Mathematics
16 March, 01:33
Solve for x
27=9^-x+5
+2
Answers (
2
)
Mercedes Murray
16 March, 01:39
0
1. Use negative power rule: x^-a=1/x^a
27=1/9^x+5
2. Subtract 5 from both sides
27-5=1/9^x
3. Simplify 27-5 to 22
22=1/9^x
4. Multiply both sides by 9^x
22*9^x=1
5. Divide both sides by 22
9^x=1/22
6. Use definition of common logarithm: b^a=x if and only if log (x) = a
x=log9 (1/22)
7. Use change of base rule: logbx = (logan) / 8logab)
x = (log1/22) / (log9)
8. Use power rule: logbx^c=clogbx log1/22 - > log (22^-1) - > - log22
x = (-log22) / (log9)
9. Use power rule
Use power rule: logbx^c=clogbx, log9 - > log3^2 - > 2 log3
x = (-log22) / (2log3)
10. Your answer is, and my wish of you having a nice day : D
x = - (log22) / (2log3)
x = (approx.) - 1.41
Comment
Complaint
Link
Max Morgan
16 March, 01:59
0
27 = 9^-x + 5
Subtract 5 from both sides
22 = 9^-x
Log 22 = - x log 9
(Log22) / (log9) = - x
- (log22) / (log9) = x
-1.41 = x
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Solve for x 27=9^-x+5 ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
There are 4 bowls of apples. Each bowl has 3 apples. Connor only has 2 bowls to take the apples home in. He needs the same number of apples in each bowls.
Answers (1)
What does the line - 4x + 3y = - 7 look like?
Answers (1)
Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32/23 hours during the summer. What equation can be used to find the number of days that she practiced piano during the summer? Let d represent the number of days.
Answers (1)
A vehicle traveled 400 kilometers in 8 hrs, it will travel how many in 2 days?
Answers (1)
Describe two diffrent ways to solve negative 10=1 fourth (8y-12)
Answers (1)
New Questions in Mathematics
A newspaper reporter wants to know how popular the hobby of bird watching is in the city. He asked people at the local bird refuge if they watched birds as a hobby. Which of the following best explains whether the reporters data is valid or not?
Answers (1)
I am very confused on how to figure out if y = 3/4x is proportional?
Answers (2)
Alison wants to buy a mountain bike for $339.12. If she saves $28.26 each month, in how many months will she be able to buy the bike?
Answers (2)
At 12 o'clock the temperature was 7°C. The temperature decreased by - 20°C. What is the new temperature?
Answers (1)
Ashleys rentals charges $27.50 per hour to rent a surfboard and a wetsuit. Darlas surf shop charges $23.25 per hour to rent a surfboard plus $17 extra for a wetsuit.
Answers (1)
Home
»
Mathematics
» Solve for x 27=9^-x+5
Sign In
Ask Question
Menu
Calculator
Subjects
History
English
Mathematics
Biology
Physics
Chemistry
Geography
Social Studies
Business
Law
Arts
SAT
Advanced Placement (AP)
Computers & Technology
Engineering
Sign In
close
Sign In
Sign Up
Forgot Password?