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
BartSMP [9]
3 years ago
13

How do I do this qn?

Mathematics
1 answer:
denis-greek [22]3 years ago
3 0
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:

log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)

log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)

simplifying by writing log9 = 2log3 and log6 = log2+log3

x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) = 
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)

So 6^x = 4/9
You might be interested in
What is the answer for 222,702 round to the nearest ten thousand
Dafna11 [192]

222,702 rounded to the nearest ten thousand would be 220,000

5 0
3 years ago
If 78 sit-ups is done in 2 minutes how many can be done in 5 minutes
Oksanka [162]

Answer:

195

Step-by-step explanation:

78/2*5

4 0
2 years ago
Read 2 more answers
If g( n ) = 3 n - 2, then what is the value of g(10)?<br><br> 4<br> 28<br> 308<br> 24
tino4ka555 [31]

Answer:

28

Step-by-step explanation:

g(10)=3n-2

10=n

3(10)-2

REMEMBER PEMDAS

Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction.

3(10)=30

30-2=28

Hope this helps have a wonderful evening!

8 0
2 years ago
How to Simplify (6^4)^2
Ainat [17]

Answer:

Step-by-use mathawaystep explanation:

8 0
3 years ago
I’m practically begging someone please help me!!
Oliga [24]
My guys is is not just (5, -10)?
6 0
3 years ago
Other questions:
  • Which ordered pair is the solution to the system of linear equations y = -7x + 2 and y = 9x - 14?
    14·2 answers
  • Skakwlwosozizjsjsjjsks
    11·2 answers
  • The table shows the data of a random sample of fish that were collected from and later released into a lake.
    6·2 answers
  • A rubber ball has a radius of about 2.86 in. Can the ball be packaged in a box shaped like a cube with a volume of 125 in3?
    7·1 answer
  • Which logarithmic equation is equivalent to the exponential equation below 4c=256
    15·2 answers
  • I am doing this for extra credit help me out
    10·1 answer
  • Instructions: Find the equation of the line through point (2, 2) and parallel
    7·1 answer
  • Consider the expression 7x2 - 4 - 9x. What is the coefficient of x?
    12·1 answer
  • practice/t5a5554218e050007ec4146/class/585909a8b011100008b3201a/uta/5f5bd0affle7ee00086710di/gid/0 Homework BOOKMARK O PLAY 1 Si
    7·1 answer
  • HELP PLEASE HELP!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!