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
Which expression is equivalent to 4.4.4.4.4.4.4.4?
seraphim [82]

Answer:

your answer is D

Step-by-step explanation:

hope this helps

8 0
3 years ago
Read 2 more answers
Which numbers are solutions of x2+20=9x+2?<br> Choose exactly 2 awnsers.<br> 2<br> 3<br> 5<br> 6
Dahasolnce [82]

Answer:

my answer is gonna be 2 and 5

7 0
2 years ago
Read 2 more answers
What is the name given for genetic changes in living things over time?
Marta_Voda [28]
In my opinion, the best answer among the choices listed above is option C. Evolution is the name given for genetic changes in living things over time. It is the change in the traits of organisms over successive generations. Hope this answers the question.
6 0
3 years ago
The population of Small town in the year 1890 was 6,250. Since then, it has increased
Margarita [4]

Answer:

6097

Step-by-step explanation:

6,250 + 3.75% =

6,484.375

6,484.375 - 6,250 =

234

1,000,000 - 6,250 =

993,750

993,750 / 234 =

4,247

1890 + 4,247 =

6097

8 0
2 years ago
the side of a square increases from 4cm to 10cm. how many times as large is the area of the new square
alexira [117]

Answer: 80 maybe

Step-by-step explanation: did you figure it out

6 0
3 years ago
Other questions:
  • FIRST PERSON TO ANSWER GETS BRANILYEST
    7·1 answer
  • What is the slope of the line y = -2?
    8·1 answer
  • Find the area of the semicircle .
    5·1 answer
  • PLEASE HELP ASAP I WILL mark brilliant!
    15·2 answers
  • The following graph shows the relationship established by a car dealership between the sale price of a particular car model and
    14·2 answers
  • 0=(2y−1)(8−y) Let y=u, y=d. What is the value of u×d
    13·2 answers
  • Which relation is a function ?
    13·2 answers
  • Math: <br> -x + 6 is greater than or equal to 10
    5·1 answer
  • a. Keiko's estimate for the distance the car will roll is 85 cm. What is the percent error in Keiko's estimate? Show your work.​
    6·1 answer
  • X + 8(y + 4) − (5y − x)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!